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Simplifying -4(2x + 3) = 2x + 6 + -1(8x + 12) Reorder the terms: -4(3 + 2x) = 2x + 6 + -1(8x + 12) (3 * -4 + 2x * -4) = 2x + 6 + -1(8x + 12) (-12 + -8x) = 2x + 6 + -1(8x + 12) Reorder the terms: -12 + -8x = 2x + 6 + -1(12 + 8x) -12 + -8x = 2x + 6 + (12 * -1 + 8x * -1) -12 + -8x = 2x + 6 + (-12 + -8x) Reorder the terms: -12 + -8x = 6 + -12 + 2x + -8x Combine like terms: 6 + -12 = -6 -12 + -8x = -6 + 2x + -8x Combine like terms: 2x + -8x = -6x -12 + -8x = -6 + -6x Solving -12 + -8x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + -8x + 6x = -6 + -6x + 6x Combine like terms: -8x + 6x = -2x -12 + -2x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + -2x = -6 + 0 -12 + -2x = -6 Add '12' to each side of the equation. -12 + 12 + -2x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -6 + 12 -2x = -6 + 12 Combine like terms: -6 + 12 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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