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Simplifying -12x + 2(4x + -5) = -18 + -3x Reorder the terms: -12x + 2(-5 + 4x) = -18 + -3x -12x + (-5 * 2 + 4x * 2) = -18 + -3x -12x + (-10 + 8x) = -18 + -3x Reorder the terms: -10 + -12x + 8x = -18 + -3x Combine like terms: -12x + 8x = -4x -10 + -4x = -18 + -3x Solving -10 + -4x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + -4x + 3x = -18 + -3x + 3x Combine like terms: -4x + 3x = -1x -10 + -1x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -1x = -18 + 0 -10 + -1x = -18 Add '10' to each side of the equation. -10 + 10 + -1x = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -18 + 10 -1x = -18 + 10 Combine like terms: -18 + 10 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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