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Simplifying 3(2x + 5) + -1x = 4x + 2 Reorder the terms: 3(5 + 2x) + -1x = 4x + 2 (5 * 3 + 2x * 3) + -1x = 4x + 2 (15 + 6x) + -1x = 4x + 2 Combine like terms: 6x + -1x = 5x 15 + 5x = 4x + 2 Reorder the terms: 15 + 5x = 2 + 4x Solving 15 + 5x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = 2 + 0 15 + 1x = 2 Add '-15' to each side of the equation. 15 + -15 + 1x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 2 + -15 1x = 2 + -15 Combine like terms: 2 + -15 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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