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Simplifying -7(-6 + -0.85714285714x) = 12(x + -3.5) (-6 * -7 + -0.85714285714x * -7) = 12(x + -3.5) (42 + 6x) = 12(x + -3.5) Reorder the terms: 42 + 6x = 12(-3.5 + x) 42 + 6x = (-3.5 * 12 + x * 12) 42 + 6x = (-42 + 12x) Solving 42 + 6x = -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 + 6x + -12x = -42 + 12x + -12x Combine like terms: 6x + -12x = -6x 42 + -6x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -6x = -42 + 0 42 + -6x = -42 Add '-42' to each side of the equation. 42 + -42 + -6x = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -42 + -42 -6x = -42 + -42 Combine like terms: -42 + -42 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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