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Simplifying 7 + -1(x + -4) = 3x + -2(x + -1) Reorder the terms: 7 + -1(-4 + x) = 3x + -2(x + -1) 7 + (-4 * -1 + x * -1) = 3x + -2(x + -1) 7 + (4 + -1x) = 3x + -2(x + -1) Combine like terms: 7 + 4 = 11 11 + -1x = 3x + -2(x + -1) Reorder the terms: 11 + -1x = 3x + -2(-1 + x) 11 + -1x = 3x + (-1 * -2 + x * -2) 11 + -1x = 3x + (2 + -2x) Reorder the terms: 11 + -1x = 2 + 3x + -2x Combine like terms: 3x + -2x = 1x 11 + -1x = 2 + 1x Solving 11 + -1x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + -1x + -1x = 2 + 1x + -1x Combine like terms: -1x + -1x = -2x 11 + -2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 11 + -2x = 2 + 0 11 + -2x = 2 Add '-11' to each side of the equation. 11 + -11 + -2x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 2 + -11 -2x = 2 + -11 Combine like terms: 2 + -11 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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