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Simplifying 1.2(16 + -1x) = -12(x + 7) (16 * 1.2 + -1x * 1.2) = -12(x + 7) (19.2 + -1.2x) = -12(x + 7) Reorder the terms: 19.2 + -1.2x = -12(7 + x) 19.2 + -1.2x = (7 * -12 + x * -12) 19.2 + -1.2x = (-84 + -12x) Solving 19.2 + -1.2x = -84 + -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. 19.2 + -1.2x + 12x = -84 + -12x + 12x Combine like terms: -1.2x + 12x = 10.8x 19.2 + 10.8x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 19.2 + 10.8x = -84 + 0 19.2 + 10.8x = -84 Add '-19.2' to each side of the equation. 19.2 + -19.2 + 10.8x = -84 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + 10.8x = -84 + -19.2 10.8x = -84 + -19.2 Combine like terms: -84 + -19.2 = -103.2 10.8x = -103.2 Divide each side by '10.8'. x = -9.555555556 Simplifying x = -9.555555556
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