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Simplifying 5x + -2(x + -5) = 6x + 24 Reorder the terms: 5x + -2(-5 + x) = 6x + 24 5x + (-5 * -2 + x * -2) = 6x + 24 5x + (10 + -2x) = 6x + 24 Reorder the terms: 10 + 5x + -2x = 6x + 24 Combine like terms: 5x + -2x = 3x 10 + 3x = 6x + 24 Reorder the terms: 10 + 3x = 24 + 6x Solving 10 + 3x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 3x + -6x = 24 + 6x + -6x Combine like terms: 3x + -6x = -3x 10 + -3x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -3x = 24 + 0 10 + -3x = 24 Add '-10' to each side of the equation. 10 + -10 + -3x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 24 + -10 -3x = 24 + -10 Combine like terms: 24 + -10 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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