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Simplifying 2(x + 7) + -1(-2x + -1) = 3x Reorder the terms: 2(7 + x) + -1(-2x + -1) = 3x (7 * 2 + x * 2) + -1(-2x + -1) = 3x (14 + 2x) + -1(-2x + -1) = 3x Reorder the terms: 14 + 2x + -1(-1 + -2x) = 3x 14 + 2x + (-1 * -1 + -2x * -1) = 3x 14 + 2x + (1 + 2x) = 3x Reorder the terms: 14 + 1 + 2x + 2x = 3x Combine like terms: 14 + 1 = 15 15 + 2x + 2x = 3x Combine like terms: 2x + 2x = 4x 15 + 4x = 3x Solving 15 + 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 15 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 15 + 1x = 0 Add '-15' to each side of the equation. 15 + -15 + 1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 0 + -15 1x = 0 + -15 Combine like terms: 0 + -15 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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