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Simplifying 2(x + 7) + 5x = -3(5 + -2x) + 1 Reorder the terms: 2(7 + x) + 5x = -3(5 + -2x) + 1 (7 * 2 + x * 2) + 5x = -3(5 + -2x) + 1 (14 + 2x) + 5x = -3(5 + -2x) + 1 Combine like terms: 2x + 5x = 7x 14 + 7x = -3(5 + -2x) + 1 14 + 7x = (5 * -3 + -2x * -3) + 1 14 + 7x = (-15 + 6x) + 1 Reorder the terms: 14 + 7x = -15 + 1 + 6x Combine like terms: -15 + 1 = -14 14 + 7x = -14 + 6x Solving 14 + 7x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 7x + -6x = -14 + 6x + -6x Combine like terms: 7x + -6x = 1x 14 + 1x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 1x = -14 + 0 14 + 1x = -14 Add '-14' to each side of the equation. 14 + -14 + 1x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -14 + -14 1x = -14 + -14 Combine like terms: -14 + -14 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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