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Simplifying 2(2x + 3) = 5x + -2 Reorder the terms: 2(3 + 2x) = 5x + -2 (3 * 2 + 2x * 2) = 5x + -2 (6 + 4x) = 5x + -2 Reorder the terms: 6 + 4x = -2 + 5x Solving 6 + 4x = -2 + 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 + 4x + -5x = -2 + 5x + -5x Combine like terms: 4x + -5x = -1x 6 + -1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -1x = -2 + 0 6 + -1x = -2 Add '-6' to each side of the equation. 6 + -6 + -1x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -2 + -6 -1x = -2 + -6 Combine like terms: -2 + -6 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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