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Simplifying -7(-6 + -1x) = 12(x + -1.5) (-6 * -7 + -1x * -7) = 12(x + -1.5) (42 + 7x) = 12(x + -1.5) Reorder the terms: 42 + 7x = 12(-1.5 + x) 42 + 7x = (-1.5 * 12 + x * 12) 42 + 7x = (-18 + 12x) Solving 42 + 7x = -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. 42 + 7x + -12x = -18 + 12x + -12x Combine like terms: 7x + -12x = -5x 42 + -5x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -5x = -18 + 0 42 + -5x = -18 Add '-42' to each side of the equation. 42 + -42 + -5x = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = -18 + -42 -5x = -18 + -42 Combine like terms: -18 + -42 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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