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Simplifying 10(x + -2) = 2(x + 9) Reorder the terms: 10(-2 + x) = 2(x + 9) (-2 * 10 + x * 10) = 2(x + 9) (-20 + 10x) = 2(x + 9) Reorder the terms: -20 + 10x = 2(9 + x) -20 + 10x = (9 * 2 + x * 2) -20 + 10x = (18 + 2x) Solving -20 + 10x = 18 + 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 = 18 + 2x + -2x Combine like terms: 10x + -2x = 8x -20 + 8x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 8x = 18 + 0 -20 + 8x = 18 Add '20' to each side of the equation. -20 + 20 + 8x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 18 + 20 8x = 18 + 20 Combine like terms: 18 + 20 = 38 8x = 38 Divide each side by '8'. x = 4.75 Simplifying x = 4.75
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