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Simplifying -4x + 7 = 2(5 + -1x) Reorder the terms: 7 + -4x = 2(5 + -1x) 7 + -4x = (5 * 2 + -1x * 2) 7 + -4x = (10 + -2x) Solving 7 + -4x = 10 + -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. 7 + -4x + 2x = 10 + -2x + 2x Combine like terms: -4x + 2x = -2x 7 + -2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + -2x = 10 + 0 7 + -2x = 10 Add '-7' to each side of the equation. 7 + -7 + -2x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 10 + -7 -2x = 10 + -7 Combine like terms: 10 + -7 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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