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Simplifying 2(x + -1) + -4(x + 2) = 3(x + 5) + (x + -1) Reorder the terms: 2(-1 + x) + -4(x + 2) = 3(x + 5) + (x + -1) (-1 * 2 + x * 2) + -4(x + 2) = 3(x + 5) + (x + -1) (-2 + 2x) + -4(x + 2) = 3(x + 5) + (x + -1) Reorder the terms: -2 + 2x + -4(2 + x) = 3(x + 5) + (x + -1) -2 + 2x + (2 * -4 + x * -4) = 3(x + 5) + (x + -1) -2 + 2x + (-8 + -4x) = 3(x + 5) + (x + -1) Reorder the terms: -2 + -8 + 2x + -4x = 3(x + 5) + (x + -1) Combine like terms: -2 + -8 = -10 -10 + 2x + -4x = 3(x + 5) + (x + -1) Combine like terms: 2x + -4x = -2x -10 + -2x = 3(x + 5) + (x + -1) Reorder the terms: -10 + -2x = 3(5 + x) + (x + -1) -10 + -2x = (5 * 3 + x * 3) + (x + -1) -10 + -2x = (15 + 3x) + (x + -1) Reorder the terms: -10 + -2x = 15 + 3x + (-1 + x) Remove parenthesis around (-1 + x) -10 + -2x = 15 + 3x + -1 + x Reorder the terms: -10 + -2x = 15 + -1 + 3x + x Combine like terms: 15 + -1 = 14 -10 + -2x = 14 + 3x + x Combine like terms: 3x + x = 4x -10 + -2x = 14 + 4x Solving -10 + -2x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + -2x + -4x = 14 + 4x + -4x Combine like terms: -2x + -4x = -6x -10 + -6x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -6x = 14 + 0 -10 + -6x = 14 Add '10' to each side of the equation. -10 + 10 + -6x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 14 + 10 -6x = 14 + 10 Combine like terms: 14 + 10 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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