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Simplifying 24 + 6x = 5(4 + 2x) + -2(4x + -4) 24 + 6x = (4 * 5 + 2x * 5) + -2(4x + -4) 24 + 6x = (20 + 10x) + -2(4x + -4) Reorder the terms: 24 + 6x = 20 + 10x + -2(-4 + 4x) 24 + 6x = 20 + 10x + (-4 * -2 + 4x * -2) 24 + 6x = 20 + 10x + (8 + -8x) Reorder the terms: 24 + 6x = 20 + 8 + 10x + -8x Combine like terms: 20 + 8 = 28 24 + 6x = 28 + 10x + -8x Combine like terms: 10x + -8x = 2x 24 + 6x = 28 + 2x Solving 24 + 6x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 6x + -2x = 28 + 2x + -2x Combine like terms: 6x + -2x = 4x 24 + 4x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 4x = 28 + 0 24 + 4x = 28 Add '-24' to each side of the equation. 24 + -24 + 4x = 28 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 28 + -24 4x = 28 + -24 Combine like terms: 28 + -24 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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