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Simplifying -1(5x + 1) = -2(8 + 2x) Reorder the terms: -1(1 + 5x) = -2(8 + 2x) (1 * -1 + 5x * -1) = -2(8 + 2x) (-1 + -5x) = -2(8 + 2x) -1 + -5x = (8 * -2 + 2x * -2) -1 + -5x = (-16 + -4x) Solving -1 + -5x = -16 + -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. -1 + -5x + 4x = -16 + -4x + 4x Combine like terms: -5x + 4x = -1x -1 + -1x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + -1x = -16 + 0 -1 + -1x = -16 Add '1' to each side of the equation. -1 + 1 + -1x = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -16 + 1 -1x = -16 + 1 Combine like terms: -16 + 1 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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