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Simplifying -2x + -3(x + -3) + -1(x + -4) = -5(x + -2) Reorder the terms: -2x + -3(-3 + x) + -1(x + -4) = -5(x + -2) -2x + (-3 * -3 + x * -3) + -1(x + -4) = -5(x + -2) -2x + (9 + -3x) + -1(x + -4) = -5(x + -2) Reorder the terms: -2x + 9 + -3x + -1(-4 + x) = -5(x + -2) -2x + 9 + -3x + (-4 * -1 + x * -1) = -5(x + -2) -2x + 9 + -3x + (4 + -1x) = -5(x + -2) Reorder the terms: 9 + 4 + -2x + -3x + -1x = -5(x + -2) Combine like terms: 9 + 4 = 13 13 + -2x + -3x + -1x = -5(x + -2) Combine like terms: -2x + -3x = -5x 13 + -5x + -1x = -5(x + -2) Combine like terms: -5x + -1x = -6x 13 + -6x = -5(x + -2) Reorder the terms: 13 + -6x = -5(-2 + x) 13 + -6x = (-2 * -5 + x * -5) 13 + -6x = (10 + -5x) Solving 13 + -6x = 10 + -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. 13 + -6x + 5x = 10 + -5x + 5x Combine like terms: -6x + 5x = -1x 13 + -1x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + -1x = 10 + 0 13 + -1x = 10 Add '-13' to each side of the equation. 13 + -13 + -1x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 10 + -13 -1x = 10 + -13 Combine like terms: 10 + -13 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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