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Simplifying 7x + -2(x + -5) + -3x = -1(x + -4) Reorder the terms: 7x + -2(-5 + x) + -3x = -1(x + -4) 7x + (-5 * -2 + x * -2) + -3x = -1(x + -4) 7x + (10 + -2x) + -3x = -1(x + -4) Reorder the terms: 10 + 7x + -2x + -3x = -1(x + -4) Combine like terms: 7x + -2x = 5x 10 + 5x + -3x = -1(x + -4) Combine like terms: 5x + -3x = 2x 10 + 2x = -1(x + -4) Reorder the terms: 10 + 2x = -1(-4 + x) 10 + 2x = (-4 * -1 + x * -1) 10 + 2x = (4 + -1x) Solving 10 + 2x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 2x + x = 4 + -1x + x Combine like terms: 2x + x = 3x 10 + 3x = 4 + -1x + x Combine like terms: -1x + x = 0 10 + 3x = 4 + 0 10 + 3x = 4 Add '-10' to each side of the equation. 10 + -10 + 3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 4 + -10 3x = 4 + -10 Combine like terms: 4 + -10 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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