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Simplifying 8(x + -2) = 2(5x + 1) Reorder the terms: 8(-2 + x) = 2(5x + 1) (-2 * 8 + x * 8) = 2(5x + 1) (-16 + 8x) = 2(5x + 1) Reorder the terms: -16 + 8x = 2(1 + 5x) -16 + 8x = (1 * 2 + 5x * 2) -16 + 8x = (2 + 10x) Solving -16 + 8x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 8x + -10x = 2 + 10x + -10x Combine like terms: 8x + -10x = -2x -16 + -2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -2x = 2 + 0 -16 + -2x = 2 Add '16' to each side of the equation. -16 + 16 + -2x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 2 + 16 -2x = 2 + 16 Combine like terms: 2 + 16 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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