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Simplifying -4(x + -3) + 2(5x + 6) = 5(x + 5) + 9 Reorder the terms: -4(-3 + x) + 2(5x + 6) = 5(x + 5) + 9 (-3 * -4 + x * -4) + 2(5x + 6) = 5(x + 5) + 9 (12 + -4x) + 2(5x + 6) = 5(x + 5) + 9 Reorder the terms: 12 + -4x + 2(6 + 5x) = 5(x + 5) + 9 12 + -4x + (6 * 2 + 5x * 2) = 5(x + 5) + 9 12 + -4x + (12 + 10x) = 5(x + 5) + 9 Reorder the terms: 12 + 12 + -4x + 10x = 5(x + 5) + 9 Combine like terms: 12 + 12 = 24 24 + -4x + 10x = 5(x + 5) + 9 Combine like terms: -4x + 10x = 6x 24 + 6x = 5(x + 5) + 9 Reorder the terms: 24 + 6x = 5(5 + x) + 9 24 + 6x = (5 * 5 + x * 5) + 9 24 + 6x = (25 + 5x) + 9 Reorder the terms: 24 + 6x = 25 + 9 + 5x Combine like terms: 25 + 9 = 34 24 + 6x = 34 + 5x Solving 24 + 6x = 34 + 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. 24 + 6x + -5x = 34 + 5x + -5x Combine like terms: 6x + -5x = 1x 24 + 1x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 1x = 34 + 0 24 + 1x = 34 Add '-24' to each side of the equation. 24 + -24 + 1x = 34 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 34 + -24 1x = 34 + -24 Combine like terms: 34 + -24 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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