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Simplifying 2(x + -1) + -6 = 10(x + -1) + 6 Reorder the terms: 2(-1 + x) + -6 = 10(x + -1) + 6 (-1 * 2 + x * 2) + -6 = 10(x + -1) + 6 (-2 + 2x) + -6 = 10(x + -1) + 6 Reorder the terms: -2 + -6 + 2x = 10(x + -1) + 6 Combine like terms: -2 + -6 = -8 -8 + 2x = 10(x + -1) + 6 Reorder the terms: -8 + 2x = 10(-1 + x) + 6 -8 + 2x = (-1 * 10 + x * 10) + 6 -8 + 2x = (-10 + 10x) + 6 Reorder the terms: -8 + 2x = -10 + 6 + 10x Combine like terms: -10 + 6 = -4 -8 + 2x = -4 + 10x Solving -8 + 2x = -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. -8 + 2x + -10x = -4 + 10x + -10x Combine like terms: 2x + -10x = -8x -8 + -8x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -8x = -4 + 0 -8 + -8x = -4 Add '8' to each side of the equation. -8 + 8 + -8x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -4 + 8 -8x = -4 + 8 Combine like terms: -4 + 8 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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