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Simplifying 2(x + -3) + -4(x + 2) = -4(x + -1) Reorder the terms: 2(-3 + x) + -4(x + 2) = -4(x + -1) (-3 * 2 + x * 2) + -4(x + 2) = -4(x + -1) (-6 + 2x) + -4(x + 2) = -4(x + -1) Reorder the terms: -6 + 2x + -4(2 + x) = -4(x + -1) -6 + 2x + (2 * -4 + x * -4) = -4(x + -1) -6 + 2x + (-8 + -4x) = -4(x + -1) Reorder the terms: -6 + -8 + 2x + -4x = -4(x + -1) Combine like terms: -6 + -8 = -14 -14 + 2x + -4x = -4(x + -1) Combine like terms: 2x + -4x = -2x -14 + -2x = -4(x + -1) Reorder the terms: -14 + -2x = -4(-1 + x) -14 + -2x = (-1 * -4 + x * -4) -14 + -2x = (4 + -4x) Solving -14 + -2x = 4 + -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. -14 + -2x + 4x = 4 + -4x + 4x Combine like terms: -2x + 4x = 2x -14 + 2x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 2x = 4 + 0 -14 + 2x = 4 Add '14' to each side of the equation. -14 + 14 + 2x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 4 + 14 2x = 4 + 14 Combine like terms: 4 + 14 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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