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Simplifying -3(x + 2) + 3 = (5x + 4) + 6 Reorder the terms: -3(2 + x) + 3 = (5x + 4) + 6 (2 * -3 + x * -3) + 3 = (5x + 4) + 6 (-6 + -3x) + 3 = (5x + 4) + 6 Reorder the terms: -6 + 3 + -3x = (5x + 4) + 6 Combine like terms: -6 + 3 = -3 -3 + -3x = (5x + 4) + 6 Reorder the terms: -3 + -3x = (4 + 5x) + 6 Remove parenthesis around (4 + 5x) -3 + -3x = 4 + 5x + 6 Reorder the terms: -3 + -3x = 4 + 6 + 5x Combine like terms: 4 + 6 = 10 -3 + -3x = 10 + 5x Solving -3 + -3x = 10 + 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 = 10 + 5x + -5x Combine like terms: -3x + -5x = -8x -3 + -8x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -8x = 10 + 0 -3 + -8x = 10 Add '3' to each side of the equation. -3 + 3 + -8x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 10 + 3 -8x = 10 + 3 Combine like terms: 10 + 3 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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