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Simplifying 3 + -1(x + -4) = 4 + -1(2x + 5) Reorder the terms: 3 + -1(-4 + x) = 4 + -1(2x + 5) 3 + (-4 * -1 + x * -1) = 4 + -1(2x + 5) 3 + (4 + -1x) = 4 + -1(2x + 5) Combine like terms: 3 + 4 = 7 7 + -1x = 4 + -1(2x + 5) Reorder the terms: 7 + -1x = 4 + -1(5 + 2x) 7 + -1x = 4 + (5 * -1 + 2x * -1) 7 + -1x = 4 + (-5 + -2x) Combine like terms: 4 + -5 = -1 7 + -1x = -1 + -2x Solving 7 + -1x = -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. 7 + -1x + 2x = -1 + -2x + 2x Combine like terms: -1x + 2x = 1x 7 + 1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 1x = -1 + 0 7 + 1x = -1 Add '-7' to each side of the equation. 7 + -7 + 1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -1 + -7 1x = -1 + -7 Combine like terms: -1 + -7 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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