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Simplifying -2(x + 3) + 4 = 3(x + 4) + 4 Reorder the terms: -2(3 + x) + 4 = 3(x + 4) + 4 (3 * -2 + x * -2) + 4 = 3(x + 4) + 4 (-6 + -2x) + 4 = 3(x + 4) + 4 Reorder the terms: -6 + 4 + -2x = 3(x + 4) + 4 Combine like terms: -6 + 4 = -2 -2 + -2x = 3(x + 4) + 4 Reorder the terms: -2 + -2x = 3(4 + x) + 4 -2 + -2x = (4 * 3 + x * 3) + 4 -2 + -2x = (12 + 3x) + 4 Reorder the terms: -2 + -2x = 12 + 4 + 3x Combine like terms: 12 + 4 = 16 -2 + -2x = 16 + 3x Solving -2 + -2x = 16 + 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. -2 + -2x + -3x = 16 + 3x + -3x Combine like terms: -2x + -3x = -5x -2 + -5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -5x = 16 + 0 -2 + -5x = 16 Add '2' to each side of the equation. -2 + 2 + -5x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 16 + 2 -5x = 16 + 2 Combine like terms: 16 + 2 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6
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