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Simplifying -6(4 + -1x) + 12 = 3x + -1(x + -4) (4 * -6 + -1x * -6) + 12 = 3x + -1(x + -4) (-24 + 6x) + 12 = 3x + -1(x + -4) Reorder the terms: -24 + 12 + 6x = 3x + -1(x + -4) Combine like terms: -24 + 12 = -12 -12 + 6x = 3x + -1(x + -4) Reorder the terms: -12 + 6x = 3x + -1(-4 + x) -12 + 6x = 3x + (-4 * -1 + x * -1) -12 + 6x = 3x + (4 + -1x) Reorder the terms: -12 + 6x = 4 + 3x + -1x Combine like terms: 3x + -1x = 2x -12 + 6x = 4 + 2x Solving -12 + 6x = 4 + 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. -12 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = 4 + 0 -12 + 4x = 4 Add '12' to each side of the equation. -12 + 12 + 4x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 4 + 12 4x = 4 + 12 Combine like terms: 4 + 12 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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