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Simplifying -2(x + 3) + 3 = 3(x + 4) + 4 Reorder the terms: -2(3 + x) + 3 = 3(x + 4) + 4 (3 * -2 + x * -2) + 3 = 3(x + 4) + 4 (-6 + -2x) + 3 = 3(x + 4) + 4 Reorder the terms: -6 + 3 + -2x = 3(x + 4) + 4 Combine like terms: -6 + 3 = -3 -3 + -2x = 3(x + 4) + 4 Reorder the terms: -3 + -2x = 3(4 + x) + 4 -3 + -2x = (4 * 3 + x * 3) + 4 -3 + -2x = (12 + 3x) + 4 Reorder the terms: -3 + -2x = 12 + 4 + 3x Combine like terms: 12 + 4 = 16 -3 + -2x = 16 + 3x Solving -3 + -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. -3 + -2x + -3x = 16 + 3x + -3x Combine like terms: -2x + -3x = -5x -3 + -5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -5x = 16 + 0 -3 + -5x = 16 Add '3' to each side of the equation. -3 + 3 + -5x = 16 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 16 + 3 -5x = 16 + 3 Combine like terms: 16 + 3 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8
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