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Simplifying 0.6(8x + 16) = 1.2 + -1(x + 2) Reorder the terms: 0.6(16 + 8x) = 1.2 + -1(x + 2) (16 * 0.6 + 8x * 0.6) = 1.2 + -1(x + 2) (9.6 + 4.8x) = 1.2 + -1(x + 2) Reorder the terms: 9.6 + 4.8x = 1.2 + -1(2 + x) 9.6 + 4.8x = 1.2 + (2 * -1 + x * -1) 9.6 + 4.8x = 1.2 + (-2 + -1x) Combine like terms: 1.2 + -2 = -0.8 9.6 + 4.8x = -0.8 + -1x Solving 9.6 + 4.8x = -0.8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9.6 + 4.8x + x = -0.8 + -1x + x Combine like terms: 4.8x + x = 5.8x 9.6 + 5.8x = -0.8 + -1x + x Combine like terms: -1x + x = 0 9.6 + 5.8x = -0.8 + 0 9.6 + 5.8x = -0.8 Add '-9.6' to each side of the equation. 9.6 + -9.6 + 5.8x = -0.8 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 5.8x = -0.8 + -9.6 5.8x = -0.8 + -9.6 Combine like terms: -0.8 + -9.6 = -10.4 5.8x = -10.4 Divide each side by '5.8'. x = -1.793103448 Simplifying x = -1.793103448
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