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Simplifying 4x + -3(3x + -1) + 12 = 15(x + 9) Reorder the terms: 4x + -3(-1 + 3x) + 12 = 15(x + 9) 4x + (-1 * -3 + 3x * -3) + 12 = 15(x + 9) 4x + (3 + -9x) + 12 = 15(x + 9) Reorder the terms: 3 + 12 + 4x + -9x = 15(x + 9) Combine like terms: 3 + 12 = 15 15 + 4x + -9x = 15(x + 9) Combine like terms: 4x + -9x = -5x 15 + -5x = 15(x + 9) Reorder the terms: 15 + -5x = 15(9 + x) 15 + -5x = (9 * 15 + x * 15) 15 + -5x = (135 + 15x) Solving 15 + -5x = 135 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + -5x + -15x = 135 + 15x + -15x Combine like terms: -5x + -15x = -20x 15 + -20x = 135 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -20x = 135 + 0 15 + -20x = 135 Add '-15' to each side of the equation. 15 + -15 + -20x = 135 + -15 Combine like terms: 15 + -15 = 0 0 + -20x = 135 + -15 -20x = 135 + -15 Combine like terms: 135 + -15 = 120 -20x = 120 Divide each side by '-20'. x = -6 Simplifying x = -6
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