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Simplifying 3(2x + 5) + -1x = 6x + -15 + x + 1 Reorder the terms: 3(5 + 2x) + -1x = 6x + -15 + x + 1 (5 * 3 + 2x * 3) + -1x = 6x + -15 + x + 1 (15 + 6x) + -1x = 6x + -15 + x + 1 Combine like terms: 6x + -1x = 5x 15 + 5x = 6x + -15 + x + 1 Reorder the terms: 15 + 5x = -15 + 1 + 6x + x Combine like terms: -15 + 1 = -14 15 + 5x = -14 + 6x + x Combine like terms: 6x + x = 7x 15 + 5x = -14 + 7x Solving 15 + 5x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x 15 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -2x = -14 + 0 15 + -2x = -14 Add '-15' to each side of the equation. 15 + -15 + -2x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -14 + -15 -2x = -14 + -15 Combine like terms: -14 + -15 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5
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