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Simplifying 7x + 2(-4x + -6) = -18 Reorder the terms: 7x + 2(-6 + -4x) = -18 7x + (-6 * 2 + -4x * 2) = -18 7x + (-12 + -8x) = -18 Reorder the terms: -12 + 7x + -8x = -18 Combine like terms: 7x + -8x = -1x -12 + -1x = -18 Solving -12 + -1x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -18 + 12 -1x = -18 + 12 Combine like terms: -18 + 12 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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