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Simplifying 3(9 + 1x) = -5(4 + -1x) * 3 (9 * 3 + 1x * 3) = -5(4 + -1x) * 3 (27 + 3x) = -5(4 + -1x) * 3 Reorder the terms for easier multiplication: 27 + 3x = -5 * 3(4 + -1x) Multiply -5 * 3 27 + 3x = -15(4 + -1x) 27 + 3x = (4 * -15 + -1x * -15) 27 + 3x = (-60 + 15x) Solving 27 + 3x = -60 + 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. 27 + 3x + -15x = -60 + 15x + -15x Combine like terms: 3x + -15x = -12x 27 + -12x = -60 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -12x = -60 + 0 27 + -12x = -60 Add '-27' to each side of the equation. 27 + -27 + -12x = -60 + -27 Combine like terms: 27 + -27 = 0 0 + -12x = -60 + -27 -12x = -60 + -27 Combine like terms: -60 + -27 = -87 -12x = -87 Divide each side by '-12'. x = 7.25 Simplifying x = 7.25
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