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Simplifying 2(x + -2) = 10(x + -6) Reorder the terms: 2(-2 + x) = 10(x + -6) (-2 * 2 + x * 2) = 10(x + -6) (-4 + 2x) = 10(x + -6) Reorder the terms: -4 + 2x = 10(-6 + x) -4 + 2x = (-6 * 10 + x * 10) -4 + 2x = (-60 + 10x) Solving -4 + 2x = -60 + 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. -4 + 2x + -10x = -60 + 10x + -10x Combine like terms: 2x + -10x = -8x -4 + -8x = -60 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -8x = -60 + 0 -4 + -8x = -60 Add '4' to each side of the equation. -4 + 4 + -8x = -60 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -60 + 4 -8x = -60 + 4 Combine like terms: -60 + 4 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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