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Simplifying 3[4 + -3x] + -5[2x + 3] = 15 [4 * 3 + -3x * 3] + -5[2x + 3] = 15 [12 + -9x] + -5[2x + 3] = 15 Reorder the terms: 12 + -9x + -5[3 + 2x] = 15 12 + -9x + [3 * -5 + 2x * -5] = 15 12 + -9x + [-15 + -10x] = 15 Reorder the terms: 12 + -15 + -9x + -10x = 15 Combine like terms: 12 + -15 = -3 -3 + -9x + -10x = 15 Combine like terms: -9x + -10x = -19x -3 + -19x = 15 Solving -3 + -19x = 15 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 = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -19x = 15 + 3 -19x = 15 + 3 Combine like terms: 15 + 3 = 18 -19x = 18 Divide each side by '-19'. x = -0.9473684211 Simplifying x = -0.9473684211
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