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Simplifying 5(x + -14) + -2(2x + -18) = 10 Reorder the terms: 5(-14 + x) + -2(2x + -18) = 10 (-14 * 5 + x * 5) + -2(2x + -18) = 10 (-70 + 5x) + -2(2x + -18) = 10 Reorder the terms: -70 + 5x + -2(-18 + 2x) = 10 -70 + 5x + (-18 * -2 + 2x * -2) = 10 -70 + 5x + (36 + -4x) = 10 Reorder the terms: -70 + 36 + 5x + -4x = 10 Combine like terms: -70 + 36 = -34 -34 + 5x + -4x = 10 Combine like terms: 5x + -4x = 1x -34 + 1x = 10 Solving -34 + 1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 1x = 10 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = 10 + 34 1x = 10 + 34 Combine like terms: 10 + 34 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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