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Simplifying 2(5x + -1) + 3 = 7x + -14 Reorder the terms: 2(-1 + 5x) + 3 = 7x + -14 (-1 * 2 + 5x * 2) + 3 = 7x + -14 (-2 + 10x) + 3 = 7x + -14 Reorder the terms: -2 + 3 + 10x = 7x + -14 Combine like terms: -2 + 3 = 1 1 + 10x = 7x + -14 Reorder the terms: 1 + 10x = -14 + 7x Solving 1 + 10x = -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. 1 + 10x + -7x = -14 + 7x + -7x Combine like terms: 10x + -7x = 3x 1 + 3x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 3x = -14 + 0 1 + 3x = -14 Add '-1' to each side of the equation. 1 + -1 + 3x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -14 + -1 3x = -14 + -1 Combine like terms: -14 + -1 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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