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Simplifying 5(x + -1) + -3(2x + -4) = 5x + -5 Reorder the terms: 5(-1 + x) + -3(2x + -4) = 5x + -5 (-1 * 5 + x * 5) + -3(2x + -4) = 5x + -5 (-5 + 5x) + -3(2x + -4) = 5x + -5 Reorder the terms: -5 + 5x + -3(-4 + 2x) = 5x + -5 -5 + 5x + (-4 * -3 + 2x * -3) = 5x + -5 -5 + 5x + (12 + -6x) = 5x + -5 Reorder the terms: -5 + 12 + 5x + -6x = 5x + -5 Combine like terms: -5 + 12 = 7 7 + 5x + -6x = 5x + -5 Combine like terms: 5x + -6x = -1x 7 + -1x = 5x + -5 Reorder the terms: 7 + -1x = -5 + 5x Solving 7 + -1x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -1x + -5x = -5 + 5x + -5x Combine like terms: -1x + -5x = -6x 7 + -6x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -6x = -5 + 0 7 + -6x = -5 Add '-7' to each side of the equation. 7 + -7 + -6x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -5 + -7 -6x = -5 + -7 Combine like terms: -5 + -7 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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