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Simplifying -1(3x + -1) + 12x = (x + 2) * 5 Reorder the terms: -1(-1 + 3x) + 12x = (x + 2) * 5 (-1 * -1 + 3x * -1) + 12x = (x + 2) * 5 (1 + -3x) + 12x = (x + 2) * 5 Combine like terms: -3x + 12x = 9x 1 + 9x = (x + 2) * 5 Reorder the terms: 1 + 9x = (2 + x) * 5 Reorder the terms for easier multiplication: 1 + 9x = 5(2 + x) 1 + 9x = (2 * 5 + x * 5) 1 + 9x = (10 + 5x) Solving 1 + 9x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 9x + -5x = 10 + 5x + -5x Combine like terms: 9x + -5x = 4x 1 + 4x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 4x = 10 + 0 1 + 4x = 10 Add '-1' to each side of the equation. 1 + -1 + 4x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 10 + -1 4x = 10 + -1 Combine like terms: 10 + -1 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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