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Simplifying 0.5(12x + -8) = 9x + -18 Reorder the terms: 0.5(-8 + 12x) = 9x + -18 (-8 * 0.5 + 12x * 0.5) = 9x + -18 (-4 + 6x) = 9x + -18 Reorder the terms: -4 + 6x = -18 + 9x Solving -4 + 6x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 6x + -9x = -18 + 9x + -9x Combine like terms: 6x + -9x = -3x -4 + -3x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -3x = -18 + 0 -4 + -3x = -18 Add '4' to each side of the equation. -4 + 4 + -3x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -18 + 4 -3x = -18 + 4 Combine like terms: -18 + 4 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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