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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 = 5x 11 + -1x = 2 + 5x Solving 11 + -1x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + -1x + -5x = 2 + 5x + -5x Combine like terms: -1x + -5x = -6x 11 + -6x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -6x = 2 + 0 11 + -6x = 2 Add '-11' to each side of the equation. 11 + -11 + -6x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 2 + -11 -6x = 2 + -11 Combine like terms: 2 + -11 = -9 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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