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Simplifying 15(x + -8) = x + 2 + -1(2x + 5) Reorder the terms: 15(-8 + x) = x + 2 + -1(2x + 5) (-8 * 15 + x * 15) = x + 2 + -1(2x + 5) (-120 + 15x) = x + 2 + -1(2x + 5) Reorder the terms: -120 + 15x = x + 2 + -1(5 + 2x) -120 + 15x = x + 2 + (5 * -1 + 2x * -1) -120 + 15x = x + 2 + (-5 + -2x) Reorder the terms: -120 + 15x = 2 + -5 + x + -2x Combine like terms: 2 + -5 = -3 -120 + 15x = -3 + x + -2x Combine like terms: x + -2x = -1x -120 + 15x = -3 + -1x Solving -120 + 15x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -120 + 15x + x = -3 + -1x + x Combine like terms: 15x + x = 16x -120 + 16x = -3 + -1x + x Combine like terms: -1x + x = 0 -120 + 16x = -3 + 0 -120 + 16x = -3 Add '120' to each side of the equation. -120 + 120 + 16x = -3 + 120 Combine like terms: -120 + 120 = 0 0 + 16x = -3 + 120 16x = -3 + 120 Combine like terms: -3 + 120 = 117 16x = 117 Divide each side by '16'. x = 7.3125 Simplifying x = 7.3125
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