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Simplifying -4(3 + -1x) = 2(3x + 5) (3 * -4 + -1x * -4) = 2(3x + 5) (-12 + 4x) = 2(3x + 5) Reorder the terms: -12 + 4x = 2(5 + 3x) -12 + 4x = (5 * 2 + 3x * 2) -12 + 4x = (10 + 6x) Solving -12 + 4x = 10 + 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 + 4x + -6x = 10 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = 10 + 0 -12 + -2x = 10 Add '12' to each side of the equation. -12 + 12 + -2x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 10 + 12 -2x = 10 + 12 Combine like terms: 10 + 12 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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