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Simplifying 6(2.5 + 3x) + -13x = 8x + -24 (2.5 * 6 + 3x * 6) + -13x = 8x + -24 (15 + 18x) + -13x = 8x + -24 Combine like terms: 18x + -13x = 5x 15 + 5x = 8x + -24 Reorder the terms: 15 + 5x = -24 + 8x Solving 15 + 5x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x 15 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -3x = -24 + 0 15 + -3x = -24 Add '-15' to each side of the equation. 15 + -15 + -3x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -24 + -15 -3x = -24 + -15 Combine like terms: -24 + -15 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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