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Simplifying 2(3x + -5) + 4(x + 8) = 3x + 9 Reorder the terms: 2(-5 + 3x) + 4(x + 8) = 3x + 9 (-5 * 2 + 3x * 2) + 4(x + 8) = 3x + 9 (-10 + 6x) + 4(x + 8) = 3x + 9 Reorder the terms: -10 + 6x + 4(8 + x) = 3x + 9 -10 + 6x + (8 * 4 + x * 4) = 3x + 9 -10 + 6x + (32 + 4x) = 3x + 9 Reorder the terms: -10 + 32 + 6x + 4x = 3x + 9 Combine like terms: -10 + 32 = 22 22 + 6x + 4x = 3x + 9 Combine like terms: 6x + 4x = 10x 22 + 10x = 3x + 9 Reorder the terms: 22 + 10x = 9 + 3x Solving 22 + 10x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + 10x + -3x = 9 + 3x + -3x Combine like terms: 10x + -3x = 7x 22 + 7x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 7x = 9 + 0 22 + 7x = 9 Add '-22' to each side of the equation. 22 + -22 + 7x = 9 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 9 + -22 7x = 9 + -22 Combine like terms: 9 + -22 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857
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