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Simplifying 3(2x + -6) + 4x = 5(x + 4) + -9 Reorder the terms: 3(-6 + 2x) + 4x = 5(x + 4) + -9 (-6 * 3 + 2x * 3) + 4x = 5(x + 4) + -9 (-18 + 6x) + 4x = 5(x + 4) + -9 Combine like terms: 6x + 4x = 10x -18 + 10x = 5(x + 4) + -9 Reorder the terms: -18 + 10x = 5(4 + x) + -9 -18 + 10x = (4 * 5 + x * 5) + -9 -18 + 10x = (20 + 5x) + -9 Reorder the terms: -18 + 10x = 20 + -9 + 5x Combine like terms: 20 + -9 = 11 -18 + 10x = 11 + 5x Solving -18 + 10x = 11 + 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 + 10x + -5x = 11 + 5x + -5x Combine like terms: 10x + -5x = 5x -18 + 5x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 5x = 11 + 0 -18 + 5x = 11 Add '18' to each side of the equation. -18 + 18 + 5x = 11 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 11 + 18 5x = 11 + 18 Combine like terms: 11 + 18 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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