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Simplifying 2(x + 4) + -20 = -3(x + -6) Reorder the terms: 2(4 + x) + -20 = -3(x + -6) (4 * 2 + x * 2) + -20 = -3(x + -6) (8 + 2x) + -20 = -3(x + -6) Reorder the terms: 8 + -20 + 2x = -3(x + -6) Combine like terms: 8 + -20 = -12 -12 + 2x = -3(x + -6) Reorder the terms: -12 + 2x = -3(-6 + x) -12 + 2x = (-6 * -3 + x * -3) -12 + 2x = (18 + -3x) Solving -12 + 2x = 18 + -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 + 2x + 3x = 18 + -3x + 3x Combine like terms: 2x + 3x = 5x -12 + 5x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 5x = 18 + 0 -12 + 5x = 18 Add '12' to each side of the equation. -12 + 12 + 5x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 18 + 12 5x = 18 + 12 Combine like terms: 18 + 12 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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