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Simplifying 4(x + 2) + -12 = 5(x + -6) Reorder the terms: 4(2 + x) + -12 = 5(x + -6) (2 * 4 + x * 4) + -12 = 5(x + -6) (8 + 4x) + -12 = 5(x + -6) Reorder the terms: 8 + -12 + 4x = 5(x + -6) Combine like terms: 8 + -12 = -4 -4 + 4x = 5(x + -6) Reorder the terms: -4 + 4x = 5(-6 + x) -4 + 4x = (-6 * 5 + x * 5) -4 + 4x = (-30 + 5x) Solving -4 + 4x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 4x + -5x = -30 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = -30 + 0 -4 + -1x = -30 Add '4' to each side of the equation. -4 + 4 + -1x = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -30 + 4 -1x = -30 + 4 Combine like terms: -30 + 4 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26
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