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Simplifying 2(3x + -9) = 5(x + -2) + 5 Reorder the terms: 2(-9 + 3x) = 5(x + -2) + 5 (-9 * 2 + 3x * 2) = 5(x + -2) + 5 (-18 + 6x) = 5(x + -2) + 5 Reorder the terms: -18 + 6x = 5(-2 + x) + 5 -18 + 6x = (-2 * 5 + x * 5) + 5 -18 + 6x = (-10 + 5x) + 5 Reorder the terms: -18 + 6x = -10 + 5 + 5x Combine like terms: -10 + 5 = -5 -18 + 6x = -5 + 5x Solving -18 + 6x = -5 + 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. -18 + 6x + -5x = -5 + 5x + -5x Combine like terms: 6x + -5x = 1x -18 + 1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 1x = -5 + 0 -18 + 1x = -5 Add '18' to each side of the equation. -18 + 18 + 1x = -5 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -5 + 18 1x = -5 + 18 Combine like terms: -5 + 18 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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