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