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Simplifying 3(6x + -5) + 24 = -5(x + -6) + 13x + -21 Reorder the terms: 3(-5 + 6x) + 24 = -5(x + -6) + 13x + -21 (-5 * 3 + 6x * 3) + 24 = -5(x + -6) + 13x + -21 (-15 + 18x) + 24 = -5(x + -6) + 13x + -21 Reorder the terms: -15 + 24 + 18x = -5(x + -6) + 13x + -21 Combine like terms: -15 + 24 = 9 9 + 18x = -5(x + -6) + 13x + -21 Reorder the terms: 9 + 18x = -5(-6 + x) + 13x + -21 9 + 18x = (-6 * -5 + x * -5) + 13x + -21 9 + 18x = (30 + -5x) + 13x + -21 Reorder the terms: 9 + 18x = 30 + -21 + -5x + 13x Combine like terms: 30 + -21 = 9 9 + 18x = 9 + -5x + 13x Combine like terms: -5x + 13x = 8x 9 + 18x = 9 + 8x Add '-9' to each side of the equation. 9 + -9 + 18x = 9 + -9 + 8x Combine like terms: 9 + -9 = 0 0 + 18x = 9 + -9 + 8x 18x = 9 + -9 + 8x Combine like terms: 9 + -9 = 0 18x = 0 + 8x 18x = 8x Solving 18x = 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. 18x + -8x = 8x + -8x Combine like terms: 18x + -8x = 10x 10x = 8x + -8x Combine like terms: 8x + -8x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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