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Simplifying 5(3 + x) = 3(4x + -1) + -24 (3 * 5 + x * 5) = 3(4x + -1) + -24 (15 + 5x) = 3(4x + -1) + -24 Reorder the terms: 15 + 5x = 3(-1 + 4x) + -24 15 + 5x = (-1 * 3 + 4x * 3) + -24 15 + 5x = (-3 + 12x) + -24 Reorder the terms: 15 + 5x = -3 + -24 + 12x Combine like terms: -3 + -24 = -27 15 + 5x = -27 + 12x Solving 15 + 5x = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 5x + -12x = -27 + 12x + -12x Combine like terms: 5x + -12x = -7x 15 + -7x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -7x = -27 + 0 15 + -7x = -27 Add '-15' to each side of the equation. 15 + -15 + -7x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -27 + -15 -7x = -27 + -15 Combine like terms: -27 + -15 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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