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Simplifying -1x + -24 = 3(4x + 5) Reorder the terms: -24 + -1x = 3(4x + 5) Reorder the terms: -24 + -1x = 3(5 + 4x) -24 + -1x = (5 * 3 + 4x * 3) -24 + -1x = (15 + 12x) Solving -24 + -1x = 15 + 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. -24 + -1x + -12x = 15 + 12x + -12x Combine like terms: -1x + -12x = -13x -24 + -13x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -13x = 15 + 0 -24 + -13x = 15 Add '24' to each side of the equation. -24 + 24 + -13x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = 15 + 24 -13x = 15 + 24 Combine like terms: 15 + 24 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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