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Simplifying -3(x + 3) + 3 = 5(x + 3) + 8 Reorder the terms: -3(3 + x) + 3 = 5(x + 3) + 8 (3 * -3 + x * -3) + 3 = 5(x + 3) + 8 (-9 + -3x) + 3 = 5(x + 3) + 8 Reorder the terms: -9 + 3 + -3x = 5(x + 3) + 8 Combine like terms: -9 + 3 = -6 -6 + -3x = 5(x + 3) + 8 Reorder the terms: -6 + -3x = 5(3 + x) + 8 -6 + -3x = (3 * 5 + x * 5) + 8 -6 + -3x = (15 + 5x) + 8 Reorder the terms: -6 + -3x = 15 + 8 + 5x Combine like terms: 15 + 8 = 23 -6 + -3x = 23 + 5x Solving -6 + -3x = 23 + 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. -6 + -3x + -5x = 23 + 5x + -5x Combine like terms: -3x + -5x = -8x -6 + -8x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -8x = 23 + 0 -6 + -8x = 23 Add '6' to each side of the equation. -6 + 6 + -8x = 23 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 23 + 6 -8x = 23 + 6 Combine like terms: 23 + 6 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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