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Simplifying 6(x + -5) + -10(x + -5) + 24(x + -5) = 40 Reorder the terms: 6(-5 + x) + -10(x + -5) + 24(x + -5) = 40 (-5 * 6 + x * 6) + -10(x + -5) + 24(x + -5) = 40 (-30 + 6x) + -10(x + -5) + 24(x + -5) = 40 Reorder the terms: -30 + 6x + -10(-5 + x) + 24(x + -5) = 40 -30 + 6x + (-5 * -10 + x * -10) + 24(x + -5) = 40 -30 + 6x + (50 + -10x) + 24(x + -5) = 40 Reorder the terms: -30 + 6x + 50 + -10x + 24(-5 + x) = 40 -30 + 6x + 50 + -10x + (-5 * 24 + x * 24) = 40 -30 + 6x + 50 + -10x + (-120 + 24x) = 40 Reorder the terms: -30 + 50 + -120 + 6x + -10x + 24x = 40 Combine like terms: -30 + 50 = 20 20 + -120 + 6x + -10x + 24x = 40 Combine like terms: 20 + -120 = -100 -100 + 6x + -10x + 24x = 40 Combine like terms: 6x + -10x = -4x -100 + -4x + 24x = 40 Combine like terms: -4x + 24x = 20x -100 + 20x = 40 Solving -100 + 20x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 20x = 40 + 100 Combine like terms: -100 + 100 = 0 0 + 20x = 40 + 100 20x = 40 + 100 Combine like terms: 40 + 100 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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