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Simplifying -5(x + -4) = 7(3 + -1x) Reorder the terms: -5(-4 + x) = 7(3 + -1x) (-4 * -5 + x * -5) = 7(3 + -1x) (20 + -5x) = 7(3 + -1x) 20 + -5x = (3 * 7 + -1x * 7) 20 + -5x = (21 + -7x) Solving 20 + -5x = 21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + -5x + 7x = 21 + -7x + 7x Combine like terms: -5x + 7x = 2x 20 + 2x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 2x = 21 + 0 20 + 2x = 21 Add '-20' to each side of the equation. 20 + -20 + 2x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 21 + -20 2x = 21 + -20 Combine like terms: 21 + -20 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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