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Simplifying 17x + -1(4x + -1(-6x + 8) + -1) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) Reorder the terms: 17x + -1(4x + -1(8 + -6x) + -1) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) 17x + -1(4x + (8 * -1 + -6x * -1) + -1) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) 17x + -1(4x + (-8 + 6x) + -1) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) Reorder the terms: 17x + -1(-8 + -1 + 4x + 6x) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) Combine like terms: -8 + -1 = -9 17x + -1(-9 + 4x + 6x) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) Combine like terms: 4x + 6x = 10x 17x + -1(-9 + 10x) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) 17x + (-9 * -1 + 10x * -1) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) 17x + (9 + -10x) + 8 = 2x + -1(-12 + -1(-12x + 36) + -1) Reorder the terms: 9 + 8 + 17x + -10x = 2x + -1(-12 + -1(-12x + 36) + -1) Combine like terms: 9 + 8 = 17 17 + 17x + -10x = 2x + -1(-12 + -1(-12x + 36) + -1) Combine like terms: 17x + -10x = 7x 17 + 7x = 2x + -1(-12 + -1(-12x + 36) + -1) Reorder the terms: 17 + 7x = 2x + -1(-12 + -1(36 + -12x) + -1) 17 + 7x = 2x + -1(-12 + (36 * -1 + -12x * -1) + -1) 17 + 7x = 2x + -1(-12 + (-36 + 12x) + -1) Reorder the terms: 17 + 7x = 2x + -1(-12 + -36 + -1 + 12x) Combine like terms: -12 + -36 = -48 17 + 7x = 2x + -1(-48 + -1 + 12x) Combine like terms: -48 + -1 = -49 17 + 7x = 2x + -1(-49 + 12x) 17 + 7x = 2x + (-49 * -1 + 12x * -1) 17 + 7x = 2x + (49 + -12x) Reorder the terms: 17 + 7x = 49 + 2x + -12x Combine like terms: 2x + -12x = -10x 17 + 7x = 49 + -10x Solving 17 + 7x = 49 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 17 + 7x + 10x = 49 + -10x + 10x Combine like terms: 7x + 10x = 17x 17 + 17x = 49 + -10x + 10x Combine like terms: -10x + 10x = 0 17 + 17x = 49 + 0 17 + 17x = 49 Add '-17' to each side of the equation. 17 + -17 + 17x = 49 + -17 Combine like terms: 17 + -17 = 0 0 + 17x = 49 + -17 17x = 49 + -17 Combine like terms: 49 + -17 = 32 17x = 32 Divide each side by '17'. x = 1.882352941 Simplifying x = 1.882352941
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