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Simplifying 5(2x + 4) + 2(-5x + -4) = 13 + -2x Reorder the terms: 5(4 + 2x) + 2(-5x + -4) = 13 + -2x (4 * 5 + 2x * 5) + 2(-5x + -4) = 13 + -2x (20 + 10x) + 2(-5x + -4) = 13 + -2x Reorder the terms: 20 + 10x + 2(-4 + -5x) = 13 + -2x 20 + 10x + (-4 * 2 + -5x * 2) = 13 + -2x 20 + 10x + (-8 + -10x) = 13 + -2x Reorder the terms: 20 + -8 + 10x + -10x = 13 + -2x Combine like terms: 20 + -8 = 12 12 + 10x + -10x = 13 + -2x Combine like terms: 10x + -10x = 0 12 + 0 = 13 + -2x 12 = 13 + -2x Solving 12 = 13 + -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. 12 + 2x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 2x = 13 + 0 12 + 2x = 13 Add '-12' to each side of the equation. 12 + -12 + 2x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 13 + -12 2x = 13 + -12 Combine like terms: 13 + -12 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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