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Simplifying 5(x + 7) + -1(2x + -6) = 2x Reorder the terms: 5(7 + x) + -1(2x + -6) = 2x (7 * 5 + x * 5) + -1(2x + -6) = 2x (35 + 5x) + -1(2x + -6) = 2x Reorder the terms: 35 + 5x + -1(-6 + 2x) = 2x 35 + 5x + (-6 * -1 + 2x * -1) = 2x 35 + 5x + (6 + -2x) = 2x Reorder the terms: 35 + 6 + 5x + -2x = 2x Combine like terms: 35 + 6 = 41 41 + 5x + -2x = 2x Combine like terms: 5x + -2x = 3x 41 + 3x = 2x Solving 41 + 3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 41 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 41 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 41 + 1x = 0 Add '-41' to each side of the equation. 41 + -41 + 1x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1x = 0 + -41 1x = 0 + -41 Combine like terms: 0 + -41 = -41 1x = -41 Divide each side by '1'. x = -41 Simplifying x = -41
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