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Simplifying 3(x + -7) + -1(2x + 5) = -18 Reorder the terms: 3(-7 + x) + -1(2x + 5) = -18 (-7 * 3 + x * 3) + -1(2x + 5) = -18 (-21 + 3x) + -1(2x + 5) = -18 Reorder the terms: -21 + 3x + -1(5 + 2x) = -18 -21 + 3x + (5 * -1 + 2x * -1) = -18 -21 + 3x + (-5 + -2x) = -18 Reorder the terms: -21 + -5 + 3x + -2x = -18 Combine like terms: -21 + -5 = -26 -26 + 3x + -2x = -18 Combine like terms: 3x + -2x = 1x -26 + 1x = -18 Solving -26 + 1x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 1x = -18 + 26 Combine like terms: -26 + 26 = 0 0 + 1x = -18 + 26 1x = -18 + 26 Combine like terms: -18 + 26 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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