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Simplifying 0.7(8x + 16) = 1.2 + -1(x + 2) Reorder the terms: 0.7(16 + 8x) = 1.2 + -1(x + 2) (16 * 0.7 + 8x * 0.7) = 1.2 + -1(x + 2) (11.2 + 5.6x) = 1.2 + -1(x + 2) Reorder the terms: 11.2 + 5.6x = 1.2 + -1(2 + x) 11.2 + 5.6x = 1.2 + (2 * -1 + x * -1) 11.2 + 5.6x = 1.2 + (-2 + -1x) Combine like terms: 1.2 + -2 = -0.8 11.2 + 5.6x = -0.8 + -1x Solving 11.2 + 5.6x = -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. 11.2 + 5.6x + x = -0.8 + -1x + x Combine like terms: 5.6x + x = 6.6x 11.2 + 6.6x = -0.8 + -1x + x Combine like terms: -1x + x = 0 11.2 + 6.6x = -0.8 + 0 11.2 + 6.6x = -0.8 Add '-11.2' to each side of the equation. 11.2 + -11.2 + 6.6x = -0.8 + -11.2 Combine like terms: 11.2 + -11.2 = 0.0 0.0 + 6.6x = -0.8 + -11.2 6.6x = -0.8 + -11.2 Combine like terms: -0.8 + -11.2 = -12 6.6x = -12 Divide each side by '6.6'. x = -1.818181818 Simplifying x = -1.818181818
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