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Simplifying -1(x + -4) + -2(x + 5) = -3 + -1(2x + 4) Reorder the terms: -1(-4 + x) + -2(x + 5) = -3 + -1(2x + 4) (-4 * -1 + x * -1) + -2(x + 5) = -3 + -1(2x + 4) (4 + -1x) + -2(x + 5) = -3 + -1(2x + 4) Reorder the terms: 4 + -1x + -2(5 + x) = -3 + -1(2x + 4) 4 + -1x + (5 * -2 + x * -2) = -3 + -1(2x + 4) 4 + -1x + (-10 + -2x) = -3 + -1(2x + 4) Reorder the terms: 4 + -10 + -1x + -2x = -3 + -1(2x + 4) Combine like terms: 4 + -10 = -6 -6 + -1x + -2x = -3 + -1(2x + 4) Combine like terms: -1x + -2x = -3x -6 + -3x = -3 + -1(2x + 4) Reorder the terms: -6 + -3x = -3 + -1(4 + 2x) -6 + -3x = -3 + (4 * -1 + 2x * -1) -6 + -3x = -3 + (-4 + -2x) Combine like terms: -3 + -4 = -7 -6 + -3x = -7 + -2x Solving -6 + -3x = -7 + -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. -6 + -3x + 2x = -7 + -2x + 2x Combine like terms: -3x + 2x = -1x -6 + -1x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -1x = -7 + 0 -6 + -1x = -7 Add '6' to each side of the equation. -6 + 6 + -1x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -7 + 6 -1x = -7 + 6 Combine like terms: -7 + 6 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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