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Simplifying -3(2x + 4) = 3 + -1(-2x + -1) Reorder the terms: -3(4 + 2x) = 3 + -1(-2x + -1) (4 * -3 + 2x * -3) = 3 + -1(-2x + -1) (-12 + -6x) = 3 + -1(-2x + -1) Reorder the terms: -12 + -6x = 3 + -1(-1 + -2x) -12 + -6x = 3 + (-1 * -1 + -2x * -1) -12 + -6x = 3 + (1 + 2x) Combine like terms: 3 + 1 = 4 -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 = -8x -12 + -8x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -8x = 4 + 0 -12 + -8x = 4 Add '12' to each side of the equation. -12 + 12 + -8x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 4 + 12 -8x = 4 + 12 Combine like terms: 4 + 12 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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