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Simplifying -3(x + 3) + 6 = 5(x + 4) + 6 Reorder the terms: -3(3 + x) + 6 = 5(x + 4) + 6 (3 * -3 + x * -3) + 6 = 5(x + 4) + 6 (-9 + -3x) + 6 = 5(x + 4) + 6 Reorder the terms: -9 + 6 + -3x = 5(x + 4) + 6 Combine like terms: -9 + 6 = -3 -3 + -3x = 5(x + 4) + 6 Reorder the terms: -3 + -3x = 5(4 + x) + 6 -3 + -3x = (4 * 5 + x * 5) + 6 -3 + -3x = (20 + 5x) + 6 Reorder the terms: -3 + -3x = 20 + 6 + 5x Combine like terms: 20 + 6 = 26 -3 + -3x = 26 + 5x Solving -3 + -3x = 26 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + -3x + -5x = 26 + 5x + -5x Combine like terms: -3x + -5x = -8x -3 + -8x = 26 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -8x = 26 + 0 -3 + -8x = 26 Add '3' to each side of the equation. -3 + 3 + -8x = 26 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 26 + 3 -8x = 26 + 3 Combine like terms: 26 + 3 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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