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Simplifying 5(x + 4) = 5 + -2(3 + -1x) Reorder the terms: 5(4 + x) = 5 + -2(3 + -1x) (4 * 5 + x * 5) = 5 + -2(3 + -1x) (20 + 5x) = 5 + -2(3 + -1x) 20 + 5x = 5 + (3 * -2 + -1x * -2) 20 + 5x = 5 + (-6 + 2x) Combine like terms: 5 + -6 = -1 20 + 5x = -1 + 2x Solving 20 + 5x = -1 + 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. 20 + 5x + -2x = -1 + 2x + -2x Combine like terms: 5x + -2x = 3x 20 + 3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 3x = -1 + 0 20 + 3x = -1 Add '-20' to each side of the equation. 20 + -20 + 3x = -1 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = -1 + -20 3x = -1 + -20 Combine like terms: -1 + -20 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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