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Simplifying 15 + -1(8 + x) = 3x + -1(1 + -1x) 15 + (8 * -1 + x * -1) = 3x + -1(1 + -1x) 15 + (-8 + -1x) = 3x + -1(1 + -1x) Combine like terms: 15 + -8 = 7 7 + -1x = 3x + -1(1 + -1x) 7 + -1x = 3x + (1 * -1 + -1x * -1) 7 + -1x = 3x + (-1 + 1x) Reorder the terms: 7 + -1x = -1 + 3x + 1x Combine like terms: 3x + 1x = 4x 7 + -1x = -1 + 4x Solving 7 + -1x = -1 + 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. 7 + -1x + -4x = -1 + 4x + -4x Combine like terms: -1x + -4x = -5x 7 + -5x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -5x = -1 + 0 7 + -5x = -1 Add '-7' to each side of the equation. 7 + -7 + -5x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -1 + -7 -5x = -1 + -7 Combine like terms: -1 + -7 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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