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Simplifying -3(x + 4) = -6(x + -5) Reorder the terms: -3(4 + x) = -6(x + -5) (4 * -3 + x * -3) = -6(x + -5) (-12 + -3x) = -6(x + -5) Reorder the terms: -12 + -3x = -6(-5 + x) -12 + -3x = (-5 * -6 + x * -6) -12 + -3x = (30 + -6x) Solving -12 + -3x = 30 + -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 + -3x + 6x = 30 + -6x + 6x Combine like terms: -3x + 6x = 3x -12 + 3x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 3x = 30 + 0 -12 + 3x = 30 Add '12' to each side of the equation. -12 + 12 + 3x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 30 + 12 3x = 30 + 12 Combine like terms: 30 + 12 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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