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Simplifying 15x + -1(30 + 8x) = 16 + -1(4x + -20) 15x + (30 * -1 + 8x * -1) = 16 + -1(4x + -20) 15x + (-30 + -8x) = 16 + -1(4x + -20) Reorder the terms: -30 + 15x + -8x = 16 + -1(4x + -20) Combine like terms: 15x + -8x = 7x -30 + 7x = 16 + -1(4x + -20) Reorder the terms: -30 + 7x = 16 + -1(-20 + 4x) -30 + 7x = 16 + (-20 * -1 + 4x * -1) -30 + 7x = 16 + (20 + -4x) Combine like terms: 16 + 20 = 36 -30 + 7x = 36 + -4x Solving -30 + 7x = 36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + 7x + 4x = 36 + -4x + 4x Combine like terms: 7x + 4x = 11x -30 + 11x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 11x = 36 + 0 -30 + 11x = 36 Add '30' to each side of the equation. -30 + 30 + 11x = 36 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 36 + 30 11x = 36 + 30 Combine like terms: 36 + 30 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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