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Simplifying 9.5(x + 2) = 12(x + -2) Reorder the terms: 9.5(2 + x) = 12(x + -2) (2 * 9.5 + x * 9.5) = 12(x + -2) (19 + 9.5x) = 12(x + -2) Reorder the terms: 19 + 9.5x = 12(-2 + x) 19 + 9.5x = (-2 * 12 + x * 12) 19 + 9.5x = (-24 + 12x) Solving 19 + 9.5x = -24 + 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. 19 + 9.5x + -12x = -24 + 12x + -12x Combine like terms: 9.5x + -12x = -2.5x 19 + -2.5x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + -2.5x = -24 + 0 19 + -2.5x = -24 Add '-19' to each side of the equation. 19 + -19 + -2.5x = -24 + -19 Combine like terms: 19 + -19 = 0 0 + -2.5x = -24 + -19 -2.5x = -24 + -19 Combine like terms: -24 + -19 = -43 -2.5x = -43 Divide each side by '-2.5'. x = 17.2 Simplifying x = 17.2
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