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Simplifying 5(x + 1) + -2(2x + -4) = 0 Reorder the terms: 5(1 + x) + -2(2x + -4) = 0 (1 * 5 + x * 5) + -2(2x + -4) = 0 (5 + 5x) + -2(2x + -4) = 0 Reorder the terms: 5 + 5x + -2(-4 + 2x) = 0 5 + 5x + (-4 * -2 + 2x * -2) = 0 5 + 5x + (8 + -4x) = 0 Reorder the terms: 5 + 8 + 5x + -4x = 0 Combine like terms: 5 + 8 = 13 13 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x 13 + 1x = 0 Solving 13 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 0 + -13 1x = 0 + -13 Combine like terms: 0 + -13 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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