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Simplifying -2(x + 7) + -3(2x + -4) = -18 Reorder the terms: -2(7 + x) + -3(2x + -4) = -18 (7 * -2 + x * -2) + -3(2x + -4) = -18 (-14 + -2x) + -3(2x + -4) = -18 Reorder the terms: -14 + -2x + -3(-4 + 2x) = -18 -14 + -2x + (-4 * -3 + 2x * -3) = -18 -14 + -2x + (12 + -6x) = -18 Reorder the terms: -14 + 12 + -2x + -6x = -18 Combine like terms: -14 + 12 = -2 -2 + -2x + -6x = -18 Combine like terms: -2x + -6x = -8x -2 + -8x = -18 Solving -2 + -8x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -8x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -18 + 2 -8x = -18 + 2 Combine like terms: -18 + 2 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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