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Simplifying 0.9(8x + 5) = 16 + -1(x + -3) Reorder the terms: 0.9(5 + 8x) = 16 + -1(x + -3) (5 * 0.9 + 8x * 0.9) = 16 + -1(x + -3) (4.5 + 7.2x) = 16 + -1(x + -3) Reorder the terms: 4.5 + 7.2x = 16 + -1(-3 + x) 4.5 + 7.2x = 16 + (-3 * -1 + x * -1) 4.5 + 7.2x = 16 + (3 + -1x) Combine like terms: 16 + 3 = 19 4.5 + 7.2x = 19 + -1x Solving 4.5 + 7.2x = 19 + -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. 4.5 + 7.2x + x = 19 + -1x + x Combine like terms: 7.2x + x = 8.2x 4.5 + 8.2x = 19 + -1x + x Combine like terms: -1x + x = 0 4.5 + 8.2x = 19 + 0 4.5 + 8.2x = 19 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 8.2x = 19 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 8.2x = 19 + -4.5 8.2x = 19 + -4.5 Combine like terms: 19 + -4.5 = 14.5 8.2x = 14.5 Divide each side by '8.2'. x = 1.768292683 Simplifying x = 1.768292683
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