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Simplifying 6(5 + x) + -4x = 24 + 5x (5 * 6 + x * 6) + -4x = 24 + 5x (30 + 6x) + -4x = 24 + 5x Combine like terms: 6x + -4x = 2x 30 + 2x = 24 + 5x Solving 30 + 2x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 2x + -5x = 24 + 5x + -5x Combine like terms: 2x + -5x = -3x 30 + -3x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -3x = 24 + 0 30 + -3x = 24 Add '-30' to each side of the equation. 30 + -30 + -3x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 24 + -30 -3x = 24 + -30 Combine like terms: 24 + -30 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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