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Simplifying 3(2 + -1x) + 9 = (2x + -4) * 5 + -3 (2 * 3 + -1x * 3) + 9 = (2x + -4) * 5 + -3 (6 + -3x) + 9 = (2x + -4) * 5 + -3 Reorder the terms: 6 + 9 + -3x = (2x + -4) * 5 + -3 Combine like terms: 6 + 9 = 15 15 + -3x = (2x + -4) * 5 + -3 Reorder the terms: 15 + -3x = (-4 + 2x) * 5 + -3 Reorder the terms for easier multiplication: 15 + -3x = 5(-4 + 2x) + -3 15 + -3x = (-4 * 5 + 2x * 5) + -3 15 + -3x = (-20 + 10x) + -3 Reorder the terms: 15 + -3x = -20 + -3 + 10x Combine like terms: -20 + -3 = -23 15 + -3x = -23 + 10x Solving 15 + -3x = -23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + -3x + -10x = -23 + 10x + -10x Combine like terms: -3x + -10x = -13x 15 + -13x = -23 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -13x = -23 + 0 15 + -13x = -23 Add '-15' to each side of the equation. 15 + -15 + -13x = -23 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = -23 + -15 -13x = -23 + -15 Combine like terms: -23 + -15 = -38 -13x = -38 Divide each side by '-13'. x = 2.923076923 Simplifying x = 2.923076923
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