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Simplifying 8(x + -2) + 2 = 8x + -2(2 + -1x) Reorder the terms: 8(-2 + x) + 2 = 8x + -2(2 + -1x) (-2 * 8 + x * 8) + 2 = 8x + -2(2 + -1x) (-16 + 8x) + 2 = 8x + -2(2 + -1x) Reorder the terms: -16 + 2 + 8x = 8x + -2(2 + -1x) Combine like terms: -16 + 2 = -14 -14 + 8x = 8x + -2(2 + -1x) -14 + 8x = 8x + (2 * -2 + -1x * -2) -14 + 8x = 8x + (-4 + 2x) Reorder the terms: -14 + 8x = -4 + 8x + 2x Combine like terms: 8x + 2x = 10x -14 + 8x = -4 + 10x Solving -14 + 8x = -4 + 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. -14 + 8x + -10x = -4 + 10x + -10x Combine like terms: 8x + -10x = -2x -14 + -2x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -2x = -4 + 0 -14 + -2x = -4 Add '14' to each side of the equation. -14 + 14 + -2x = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -4 + 14 -2x = -4 + 14 Combine like terms: -4 + 14 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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