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Simplifying -3(-1x + 5) = 1 + -2(-1x + 1) Reorder the terms: -3(5 + -1x) = 1 + -2(-1x + 1) (5 * -3 + -1x * -3) = 1 + -2(-1x + 1) (-15 + 3x) = 1 + -2(-1x + 1) Reorder the terms: -15 + 3x = 1 + -2(1 + -1x) -15 + 3x = 1 + (1 * -2 + -1x * -2) -15 + 3x = 1 + (-2 + 2x) Combine like terms: 1 + -2 = -1 -15 + 3x = -1 + 2x Solving -15 + 3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x -15 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 1x = -1 + 0 -15 + 1x = -1 Add '15' to each side of the equation. -15 + 15 + 1x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -1 + 15 1x = -1 + 15 Combine like terms: -1 + 15 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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