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Simplifying 0.08(2x + 7) = 2.7 + -1(x + -3) Reorder the terms: 0.08(7 + 2x) = 2.7 + -1(x + -3) (7 * 0.08 + 2x * 0.08) = 2.7 + -1(x + -3) (0.56 + 0.16x) = 2.7 + -1(x + -3) Reorder the terms: 0.56 + 0.16x = 2.7 + -1(-3 + x) 0.56 + 0.16x = 2.7 + (-3 * -1 + x * -1) 0.56 + 0.16x = 2.7 + (3 + -1x) Combine like terms: 2.7 + 3 = 5.7 0.56 + 0.16x = 5.7 + -1x Solving 0.56 + 0.16x = 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. 0.56 + 0.16x + x = 5.7 + -1x + x Combine like terms: 0.16x + x = 1.16x 0.56 + 1.16x = 5.7 + -1x + x Combine like terms: -1x + x = 0 0.56 + 1.16x = 5.7 + 0 0.56 + 1.16x = 5.7 Add '-0.56' to each side of the equation. 0.56 + -0.56 + 1.16x = 5.7 + -0.56 Combine like terms: 0.56 + -0.56 = 0.00 0.00 + 1.16x = 5.7 + -0.56 1.16x = 5.7 + -0.56 Combine like terms: 5.7 + -0.56 = 5.14 1.16x = 5.14 Divide each side by '1.16'. x = 4.431034483 Simplifying x = 4.431034483
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