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Simplifying 8 + -3(-5x + 5) + 3x = 2(2x + -5) + 3(x + 12) Reorder the terms: 8 + -3(5 + -5x) + 3x = 2(2x + -5) + 3(x + 12) 8 + (5 * -3 + -5x * -3) + 3x = 2(2x + -5) + 3(x + 12) 8 + (-15 + 15x) + 3x = 2(2x + -5) + 3(x + 12) Combine like terms: 8 + -15 = -7 -7 + 15x + 3x = 2(2x + -5) + 3(x + 12) Combine like terms: 15x + 3x = 18x -7 + 18x = 2(2x + -5) + 3(x + 12) Reorder the terms: -7 + 18x = 2(-5 + 2x) + 3(x + 12) -7 + 18x = (-5 * 2 + 2x * 2) + 3(x + 12) -7 + 18x = (-10 + 4x) + 3(x + 12) Reorder the terms: -7 + 18x = -10 + 4x + 3(12 + x) -7 + 18x = -10 + 4x + (12 * 3 + x * 3) -7 + 18x = -10 + 4x + (36 + 3x) Reorder the terms: -7 + 18x = -10 + 36 + 4x + 3x Combine like terms: -10 + 36 = 26 -7 + 18x = 26 + 4x + 3x Combine like terms: 4x + 3x = 7x -7 + 18x = 26 + 7x Solving -7 + 18x = 26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 18x + -7x = 26 + 7x + -7x Combine like terms: 18x + -7x = 11x -7 + 11x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 11x = 26 + 0 -7 + 11x = 26 Add '7' to each side of the equation. -7 + 7 + 11x = 26 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 26 + 7 11x = 26 + 7 Combine like terms: 26 + 7 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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