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Simplifying -7(-6 + -0.88x) = 12(x + -3.5) (-6 * -7 + -0.88x * -7) = 12(x + -3.5) (42 + 6.16x) = 12(x + -3.5) Reorder the terms: 42 + 6.16x = 12(-3.5 + x) 42 + 6.16x = (-3.5 * 12 + x * 12) 42 + 6.16x = (-42 + 12x) Solving 42 + 6.16x = -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. 42 + 6.16x + -12x = -42 + 12x + -12x Combine like terms: 6.16x + -12x = -5.84x 42 + -5.84x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -5.84x = -42 + 0 42 + -5.84x = -42 Add '-42' to each side of the equation. 42 + -42 + -5.84x = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -5.84x = -42 + -42 -5.84x = -42 + -42 Combine like terms: -42 + -42 = -84 -5.84x = -84 Divide each side by '-5.84'. x = 14.38356164 Simplifying x = 14.38356164
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