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Simplifying -2(x + 4) + 4 = 3(x + 2) + 2 Reorder the terms: -2(4 + x) + 4 = 3(x + 2) + 2 (4 * -2 + x * -2) + 4 = 3(x + 2) + 2 (-8 + -2x) + 4 = 3(x + 2) + 2 Reorder the terms: -8 + 4 + -2x = 3(x + 2) + 2 Combine like terms: -8 + 4 = -4 -4 + -2x = 3(x + 2) + 2 Reorder the terms: -4 + -2x = 3(2 + x) + 2 -4 + -2x = (2 * 3 + x * 3) + 2 -4 + -2x = (6 + 3x) + 2 Reorder the terms: -4 + -2x = 6 + 2 + 3x Combine like terms: 6 + 2 = 8 -4 + -2x = 8 + 3x Solving -4 + -2x = 8 + 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. -4 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x -4 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -5x = 8 + 0 -4 + -5x = 8 Add '4' to each side of the equation. -4 + 4 + -5x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 8 + 4 -5x = 8 + 4 Combine like terms: 8 + 4 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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