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Simplifying 2x + -4(x + 2) = 3x + -1(x + 12) Reorder the terms: 2x + -4(2 + x) = 3x + -1(x + 12) 2x + (2 * -4 + x * -4) = 3x + -1(x + 12) 2x + (-8 + -4x) = 3x + -1(x + 12) Reorder the terms: -8 + 2x + -4x = 3x + -1(x + 12) Combine like terms: 2x + -4x = -2x -8 + -2x = 3x + -1(x + 12) Reorder the terms: -8 + -2x = 3x + -1(12 + x) -8 + -2x = 3x + (12 * -1 + x * -1) -8 + -2x = 3x + (-12 + -1x) Reorder the terms: -8 + -2x = -12 + 3x + -1x Combine like terms: 3x + -1x = 2x -8 + -2x = -12 + 2x Solving -8 + -2x = -12 + 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. -8 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x -8 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -4x = -12 + 0 -8 + -4x = -12 Add '8' to each side of the equation. -8 + 8 + -4x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -12 + 8 -4x = -12 + 8 Combine like terms: -12 + 8 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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