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