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Simplifying 0.8(4x + 7) = 2.7 + -1(x + -3) Reorder the terms: 0.8(7 + 4x) = 2.7 + -1(x + -3) (7 * 0.8 + 4x * 0.8) = 2.7 + -1(x + -3) (5.6 + 3.2x) = 2.7 + -1(x + -3) Reorder the terms: 5.6 + 3.2x = 2.7 + -1(-3 + x) 5.6 + 3.2x = 2.7 + (-3 * -1 + x * -1) 5.6 + 3.2x = 2.7 + (3 + -1x) Combine like terms: 2.7 + 3 = 5.7 5.6 + 3.2x = 5.7 + -1x Solving 5.6 + 3.2x = 5.7 + -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 + 3.2x + x = 5.7 + -1x + x Combine like terms: 3.2x + x = 4.2x 5.6 + 4.2x = 5.7 + -1x + x Combine like terms: -1x + x = 0 5.6 + 4.2x = 5.7 + 0 5.6 + 4.2x = 5.7 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 4.2x = 5.7 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 4.2x = 5.7 + -5.6 4.2x = 5.7 + -5.6 Combine like terms: 5.7 + -5.6 = 0.1 4.2x = 0.1 Divide each side by '4.2'. x = 0.02380952381 Simplifying x = 0.02380952381
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