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Simplifying -2(x + 6) + 3 = 3(x + 4) + 2 Reorder the terms: -2(6 + x) + 3 = 3(x + 4) + 2 (6 * -2 + x * -2) + 3 = 3(x + 4) + 2 (-12 + -2x) + 3 = 3(x + 4) + 2 Reorder the terms: -12 + 3 + -2x = 3(x + 4) + 2 Combine like terms: -12 + 3 = -9 -9 + -2x = 3(x + 4) + 2 Reorder the terms: -9 + -2x = 3(4 + x) + 2 -9 + -2x = (4 * 3 + x * 3) + 2 -9 + -2x = (12 + 3x) + 2 Reorder the terms: -9 + -2x = 12 + 2 + 3x Combine like terms: 12 + 2 = 14 -9 + -2x = 14 + 3x Solving -9 + -2x = 14 + 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. -9 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x -9 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -5x = 14 + 0 -9 + -5x = 14 Add '9' to each side of the equation. -9 + 9 + -5x = 14 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 14 + 9 -5x = 14 + 9 Combine like terms: 14 + 9 = 23 -5x = 23 Divide each side by '-5'. x = -4.6 Simplifying x = -4.6
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