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Simplifying 4(5 + -1x) + -1(3 + -2x) = -7 (5 * 4 + -1x * 4) + -1(3 + -2x) = -7 (20 + -4x) + -1(3 + -2x) = -7 20 + -4x + (3 * -1 + -2x * -1) = -7 20 + -4x + (-3 + 2x) = -7 Reorder the terms: 20 + -3 + -4x + 2x = -7 Combine like terms: 20 + -3 = 17 17 + -4x + 2x = -7 Combine like terms: -4x + 2x = -2x 17 + -2x = -7 Solving 17 + -2x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -7 + -17 -2x = -7 + -17 Combine like terms: -7 + -17 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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