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Simplifying 2(x + -4) + 12 = 4x + -2(3x + -1) Reorder the terms: 2(-4 + x) + 12 = 4x + -2(3x + -1) (-4 * 2 + x * 2) + 12 = 4x + -2(3x + -1) (-8 + 2x) + 12 = 4x + -2(3x + -1) Reorder the terms: -8 + 12 + 2x = 4x + -2(3x + -1) Combine like terms: -8 + 12 = 4 4 + 2x = 4x + -2(3x + -1) Reorder the terms: 4 + 2x = 4x + -2(-1 + 3x) 4 + 2x = 4x + (-1 * -2 + 3x * -2) 4 + 2x = 4x + (2 + -6x) Reorder the terms: 4 + 2x = 2 + 4x + -6x Combine like terms: 4x + -6x = -2x 4 + 2x = 2 + -2x Solving 4 + 2x = 2 + -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. 4 + 2x + 2x = 2 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = 2 + 0 4 + 4x = 2 Add '-4' to each side of the equation. 4 + -4 + 4x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 2 + -4 4x = 2 + -4 Combine like terms: 2 + -4 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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