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Simplifying -8 + 8(2x + -3) = -1(x + -2) Reorder the terms: -8 + 8(-3 + 2x) = -1(x + -2) -8 + (-3 * 8 + 2x * 8) = -1(x + -2) -8 + (-24 + 16x) = -1(x + -2) Combine like terms: -8 + -24 = -32 -32 + 16x = -1(x + -2) Reorder the terms: -32 + 16x = -1(-2 + x) -32 + 16x = (-2 * -1 + x * -1) -32 + 16x = (2 + -1x) Solving -32 + 16x = 2 + -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. -32 + 16x + x = 2 + -1x + x Combine like terms: 16x + x = 17x -32 + 17x = 2 + -1x + x Combine like terms: -1x + x = 0 -32 + 17x = 2 + 0 -32 + 17x = 2 Add '32' to each side of the equation. -32 + 32 + 17x = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 17x = 2 + 32 17x = 2 + 32 Combine like terms: 2 + 32 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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