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Simplifying 15x + 9(6 + -1x) = 3x + -24 15x + (6 * 9 + -1x * 9) = 3x + -24 15x + (54 + -9x) = 3x + -24 Reorder the terms: 54 + 15x + -9x = 3x + -24 Combine like terms: 15x + -9x = 6x 54 + 6x = 3x + -24 Reorder the terms: 54 + 6x = -24 + 3x Solving 54 + 6x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 54 + 6x + -3x = -24 + 3x + -3x Combine like terms: 6x + -3x = 3x 54 + 3x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + 3x = -24 + 0 54 + 3x = -24 Add '-54' to each side of the equation. 54 + -54 + 3x = -24 + -54 Combine like terms: 54 + -54 = 0 0 + 3x = -24 + -54 3x = -24 + -54 Combine like terms: -24 + -54 = -78 3x = -78 Divide each side by '3'. x = -26 Simplifying x = -26
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