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Simplifying 0.7(4x + 8) = 1.8 + -1(x + 12) Reorder the terms: 0.7(8 + 4x) = 1.8 + -1(x + 12) (8 * 0.7 + 4x * 0.7) = 1.8 + -1(x + 12) (5.6 + 2.8x) = 1.8 + -1(x + 12) Reorder the terms: 5.6 + 2.8x = 1.8 + -1(12 + x) 5.6 + 2.8x = 1.8 + (12 * -1 + x * -1) 5.6 + 2.8x = 1.8 + (-12 + -1x) Combine like terms: 1.8 + -12 = -10.2 5.6 + 2.8x = -10.2 + -1x Solving 5.6 + 2.8x = -10.2 + -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. 5.6 + 2.8x + x = -10.2 + -1x + x Combine like terms: 2.8x + x = 3.8x 5.6 + 3.8x = -10.2 + -1x + x Combine like terms: -1x + x = 0 5.6 + 3.8x = -10.2 + 0 5.6 + 3.8x = -10.2 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 3.8x = -10.2 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 3.8x = -10.2 + -5.6 3.8x = -10.2 + -5.6 Combine like terms: -10.2 + -5.6 = -15.8 3.8x = -15.8 Divide each side by '3.8'. x = -4.157894737 Simplifying x = -4.157894737
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