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Simplifying 2(x + -4) + -12 = 2 + -3(x + 4) Reorder the terms: 2(-4 + x) + -12 = 2 + -3(x + 4) (-4 * 2 + x * 2) + -12 = 2 + -3(x + 4) (-8 + 2x) + -12 = 2 + -3(x + 4) Reorder the terms: -8 + -12 + 2x = 2 + -3(x + 4) Combine like terms: -8 + -12 = -20 -20 + 2x = 2 + -3(x + 4) Reorder the terms: -20 + 2x = 2 + -3(4 + x) -20 + 2x = 2 + (4 * -3 + x * -3) -20 + 2x = 2 + (-12 + -3x) Combine like terms: 2 + -12 = -10 -20 + 2x = -10 + -3x Solving -20 + 2x = -10 + -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. -20 + 2x + 3x = -10 + -3x + 3x Combine like terms: 2x + 3x = 5x -20 + 5x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 5x = -10 + 0 -20 + 5x = -10 Add '20' to each side of the equation. -20 + 20 + 5x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -10 + 20 5x = -10 + 20 Combine like terms: -10 + 20 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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