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Simplifying -3(x + 4) + 3 = 5(x + 3) + 2 Reorder the terms: -3(4 + x) + 3 = 5(x + 3) + 2 (4 * -3 + x * -3) + 3 = 5(x + 3) + 2 (-12 + -3x) + 3 = 5(x + 3) + 2 Reorder the terms: -12 + 3 + -3x = 5(x + 3) + 2 Combine like terms: -12 + 3 = -9 -9 + -3x = 5(x + 3) + 2 Reorder the terms: -9 + -3x = 5(3 + x) + 2 -9 + -3x = (3 * 5 + x * 5) + 2 -9 + -3x = (15 + 5x) + 2 Reorder the terms: -9 + -3x = 15 + 2 + 5x Combine like terms: 15 + 2 = 17 -9 + -3x = 17 + 5x Solving -9 + -3x = 17 + 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. -9 + -3x + -5x = 17 + 5x + -5x Combine like terms: -3x + -5x = -8x -9 + -8x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -8x = 17 + 0 -9 + -8x = 17 Add '9' to each side of the equation. -9 + 9 + -8x = 17 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 17 + 9 -8x = 17 + 9 Combine like terms: 17 + 9 = 26 -8x = 26 Divide each side by '-8'. x = -3.25 Simplifying x = -3.25
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