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Simplifying (5x + 2) + (-2x + 1)(3) = 0 Reorder the terms: (2 + 5x) + (-2x + 1)(3) = 0 Remove parenthesis around (2 + 5x) 2 + 5x + (-2x + 1)(3) = 0 Reorder the terms: 2 + 5x + (1 + -2x)(3) = 0 Reorder the terms for easier multiplication: 2 + 5x + 3(1 + -2x) = 0 2 + 5x + (1 * 3 + -2x * 3) = 0 2 + 5x + (3 + -6x) = 0 Reorder the terms: 2 + 3 + 5x + -6x = 0 Combine like terms: 2 + 3 = 5 5 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x 5 + -1x = 0 Solving 5 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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