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Simplifying 6(x + -2) = 5(9 + x) Reorder the terms: 6(-2 + x) = 5(9 + x) (-2 * 6 + x * 6) = 5(9 + x) (-12 + 6x) = 5(9 + x) -12 + 6x = (9 * 5 + x * 5) -12 + 6x = (45 + 5x) Solving -12 + 6x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = 45 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = 45 + 0 -12 + 1x = 45 Add '12' to each side of the equation. -12 + 12 + 1x = 45 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 45 + 12 1x = 45 + 12 Combine like terms: 45 + 12 = 57 1x = 57 Divide each side by '1'. x = 57 Simplifying x = 57
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