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Simplifying -4x + 24 = 2(4x + 5) + -10 Reorder the terms: 24 + -4x = 2(4x + 5) + -10 Reorder the terms: 24 + -4x = 2(5 + 4x) + -10 24 + -4x = (5 * 2 + 4x * 2) + -10 24 + -4x = (10 + 8x) + -10 Reorder the terms: 24 + -4x = 10 + -10 + 8x Combine like terms: 10 + -10 = 0 24 + -4x = 0 + 8x 24 + -4x = 8x Solving 24 + -4x = 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. 24 + -4x + -8x = 8x + -8x Combine like terms: -4x + -8x = -12x 24 + -12x = 8x + -8x Combine like terms: 8x + -8x = 0 24 + -12x = 0 Add '-24' to each side of the equation. 24 + -24 + -12x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = 0 + -24 -12x = 0 + -24 Combine like terms: 0 + -24 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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