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Simplifying -3(x + 4) = 5x + -2(x + -6) Reorder the terms: -3(4 + x) = 5x + -2(x + -6) (4 * -3 + x * -3) = 5x + -2(x + -6) (-12 + -3x) = 5x + -2(x + -6) Reorder the terms: -12 + -3x = 5x + -2(-6 + x) -12 + -3x = 5x + (-6 * -2 + x * -2) -12 + -3x = 5x + (12 + -2x) Reorder the terms: -12 + -3x = 12 + 5x + -2x Combine like terms: 5x + -2x = 3x -12 + -3x = 12 + 3x Solving -12 + -3x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -3x + -3x = 12 + 3x + -3x Combine like terms: -3x + -3x = -6x -12 + -6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -6x = 12 + 0 -12 + -6x = 12 Add '12' to each side of the equation. -12 + 12 + -6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 12 + 12 -6x = 12 + 12 Combine like terms: 12 + 12 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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