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Simplifying 2(3x + -1) + -4(x + 2) = 4x + -12 Reorder the terms: 2(-1 + 3x) + -4(x + 2) = 4x + -12 (-1 * 2 + 3x * 2) + -4(x + 2) = 4x + -12 (-2 + 6x) + -4(x + 2) = 4x + -12 Reorder the terms: -2 + 6x + -4(2 + x) = 4x + -12 -2 + 6x + (2 * -4 + x * -4) = 4x + -12 -2 + 6x + (-8 + -4x) = 4x + -12 Reorder the terms: -2 + -8 + 6x + -4x = 4x + -12 Combine like terms: -2 + -8 = -10 -10 + 6x + -4x = 4x + -12 Combine like terms: 6x + -4x = 2x -10 + 2x = 4x + -12 Reorder the terms: -10 + 2x = -12 + 4x Solving -10 + 2x = -12 + 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 = -12 + 4x + -4x Combine like terms: 2x + -4x = -2x -10 + -2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -2x = -12 + 0 -10 + -2x = -12 Add '10' to each side of the equation. -10 + 10 + -2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -12 + 10 -2x = -12 + 10 Combine like terms: -12 + 10 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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