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Simplifying -1x + 1 = 3(5x + -5) Reorder the terms: 1 + -1x = 3(5x + -5) Reorder the terms: 1 + -1x = 3(-5 + 5x) 1 + -1x = (-5 * 3 + 5x * 3) 1 + -1x = (-15 + 15x) Solving 1 + -1x = -15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1 + -1x + -15x = -15 + 15x + -15x Combine like terms: -1x + -15x = -16x 1 + -16x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -16x = -15 + 0 1 + -16x = -15 Add '-1' to each side of the equation. 1 + -1 + -16x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = -15 + -1 -16x = -15 + -1 Combine like terms: -15 + -1 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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