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Simplifying 5(2x + 4) + -3(2x + -4) = 36 Reorder the terms: 5(4 + 2x) + -3(2x + -4) = 36 (4 * 5 + 2x * 5) + -3(2x + -4) = 36 (20 + 10x) + -3(2x + -4) = 36 Reorder the terms: 20 + 10x + -3(-4 + 2x) = 36 20 + 10x + (-4 * -3 + 2x * -3) = 36 20 + 10x + (12 + -6x) = 36 Reorder the terms: 20 + 12 + 10x + -6x = 36 Combine like terms: 20 + 12 = 32 32 + 10x + -6x = 36 Combine like terms: 10x + -6x = 4x 32 + 4x = 36 Solving 32 + 4x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4x = 36 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 36 + -32 4x = 36 + -32 Combine like terms: 36 + -32 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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