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Simplifying 0.8(4x + 5) = 1.1 + -1(x + -3) Reorder the terms: 0.8(5 + 4x) = 1.1 + -1(x + -3) (5 * 0.8 + 4x * 0.8) = 1.1 + -1(x + -3) (4 + 3.2x) = 1.1 + -1(x + -3) Reorder the terms: 4 + 3.2x = 1.1 + -1(-3 + x) 4 + 3.2x = 1.1 + (-3 * -1 + x * -1) 4 + 3.2x = 1.1 + (3 + -1x) Combine like terms: 1.1 + 3 = 4.1 4 + 3.2x = 4.1 + -1x Solving 4 + 3.2x = 4.1 + -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. 4 + 3.2x + x = 4.1 + -1x + x Combine like terms: 3.2x + x = 4.2x 4 + 4.2x = 4.1 + -1x + x Combine like terms: -1x + x = 0 4 + 4.2x = 4.1 + 0 4 + 4.2x = 4.1 Add '-4' to each side of the equation. 4 + -4 + 4.2x = 4.1 + -4 Combine like terms: 4 + -4 = 0 0 + 4.2x = 4.1 + -4 4.2x = 4.1 + -4 Combine like terms: 4.1 + -4 = 0.1 4.2x = 0.1 Divide each side by '4.2'. x = 0.02380952381 Simplifying x = 0.02380952381
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