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Simplifying 2(3x + -4) + 5(2x + 3) = 9 Reorder the terms: 2(-4 + 3x) + 5(2x + 3) = 9 (-4 * 2 + 3x * 2) + 5(2x + 3) = 9 (-8 + 6x) + 5(2x + 3) = 9 Reorder the terms: -8 + 6x + 5(3 + 2x) = 9 -8 + 6x + (3 * 5 + 2x * 5) = 9 -8 + 6x + (15 + 10x) = 9 Reorder the terms: -8 + 15 + 6x + 10x = 9 Combine like terms: -8 + 15 = 7 7 + 6x + 10x = 9 Combine like terms: 6x + 10x = 16x 7 + 16x = 9 Solving 7 + 16x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 16x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 9 + -7 16x = 9 + -7 Combine like terms: 9 + -7 = 2 16x = 2 Divide each side by '16'. x = 0.125 Simplifying x = 0.125
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