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Simplifying 2(x + -10) + -6 = 31x + -374 Reorder the terms: 2(-10 + x) + -6 = 31x + -374 (-10 * 2 + x * 2) + -6 = 31x + -374 (-20 + 2x) + -6 = 31x + -374 Reorder the terms: -20 + -6 + 2x = 31x + -374 Combine like terms: -20 + -6 = -26 -26 + 2x = 31x + -374 Reorder the terms: -26 + 2x = -374 + 31x Solving -26 + 2x = -374 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -26 + 2x + -31x = -374 + 31x + -31x Combine like terms: 2x + -31x = -29x -26 + -29x = -374 + 31x + -31x Combine like terms: 31x + -31x = 0 -26 + -29x = -374 + 0 -26 + -29x = -374 Add '26' to each side of the equation. -26 + 26 + -29x = -374 + 26 Combine like terms: -26 + 26 = 0 0 + -29x = -374 + 26 -29x = -374 + 26 Combine like terms: -374 + 26 = -348 -29x = -348 Divide each side by '-29'. x = 12 Simplifying x = 12
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