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Simplifying 0.66(18 + 12x) = 6(2x + -7) (18 * 0.66 + 12x * 0.66) = 6(2x + -7) (11.88 + 7.92x) = 6(2x + -7) Reorder the terms: 11.88 + 7.92x = 6(-7 + 2x) 11.88 + 7.92x = (-7 * 6 + 2x * 6) 11.88 + 7.92x = (-42 + 12x) Solving 11.88 + 7.92x = -42 + 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. 11.88 + 7.92x + -12x = -42 + 12x + -12x Combine like terms: 7.92x + -12x = -4.08x 11.88 + -4.08x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 11.88 + -4.08x = -42 + 0 11.88 + -4.08x = -42 Add '-11.88' to each side of the equation. 11.88 + -11.88 + -4.08x = -42 + -11.88 Combine like terms: 11.88 + -11.88 = 0.00 0.00 + -4.08x = -42 + -11.88 -4.08x = -42 + -11.88 Combine like terms: -42 + -11.88 = -53.88 -4.08x = -53.88 Divide each side by '-4.08'. x = 13.20588235 Simplifying x = 13.20588235
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