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Simplifying 10(x + -2) = 2(x + -7) Reorder the terms: 10(-2 + x) = 2(x + -7) (-2 * 10 + x * 10) = 2(x + -7) (-20 + 10x) = 2(x + -7) Reorder the terms: -20 + 10x = 2(-7 + x) -20 + 10x = (-7 * 2 + x * 2) -20 + 10x = (-14 + 2x) Solving -20 + 10x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 10x + -2x = -14 + 2x + -2x Combine like terms: 10x + -2x = 8x -20 + 8x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 8x = -14 + 0 -20 + 8x = -14 Add '20' to each side of the equation. -20 + 20 + 8x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = -14 + 20 8x = -14 + 20 Combine like terms: -14 + 20 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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