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Simplifying 3(3x + -4) + 5(2x + 3) = -9 Reorder the terms: 3(-4 + 3x) + 5(2x + 3) = -9 (-4 * 3 + 3x * 3) + 5(2x + 3) = -9 (-12 + 9x) + 5(2x + 3) = -9 Reorder the terms: -12 + 9x + 5(3 + 2x) = -9 -12 + 9x + (3 * 5 + 2x * 5) = -9 -12 + 9x + (15 + 10x) = -9 Reorder the terms: -12 + 15 + 9x + 10x = -9 Combine like terms: -12 + 15 = 3 3 + 9x + 10x = -9 Combine like terms: 9x + 10x = 19x 3 + 19x = -9 Solving 3 + 19x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 19x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 19x = -9 + -3 19x = -9 + -3 Combine like terms: -9 + -3 = -12 19x = -12 Divide each side by '19'. x = -0.6315789474 Simplifying x = -0.6315789474
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