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Simplifying 2(x + -3) + -4(x + 2) = 2(x + -1) + -20 Reorder the terms: 2(-3 + x) + -4(x + 2) = 2(x + -1) + -20 (-3 * 2 + x * 2) + -4(x + 2) = 2(x + -1) + -20 (-6 + 2x) + -4(x + 2) = 2(x + -1) + -20 Reorder the terms: -6 + 2x + -4(2 + x) = 2(x + -1) + -20 -6 + 2x + (2 * -4 + x * -4) = 2(x + -1) + -20 -6 + 2x + (-8 + -4x) = 2(x + -1) + -20 Reorder the terms: -6 + -8 + 2x + -4x = 2(x + -1) + -20 Combine like terms: -6 + -8 = -14 -14 + 2x + -4x = 2(x + -1) + -20 Combine like terms: 2x + -4x = -2x -14 + -2x = 2(x + -1) + -20 Reorder the terms: -14 + -2x = 2(-1 + x) + -20 -14 + -2x = (-1 * 2 + x * 2) + -20 -14 + -2x = (-2 + 2x) + -20 Reorder the terms: -14 + -2x = -2 + -20 + 2x Combine like terms: -2 + -20 = -22 -14 + -2x = -22 + 2x Solving -14 + -2x = -22 + 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. -14 + -2x + -2x = -22 + 2x + -2x Combine like terms: -2x + -2x = -4x -14 + -4x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -4x = -22 + 0 -14 + -4x = -22 Add '14' to each side of the equation. -14 + 14 + -4x = -22 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -22 + 14 -4x = -22 + 14 Combine like terms: -22 + 14 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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