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Simplifying 0.8(5x + 8) = 3.5 + -1(x + -3) Reorder the terms: 0.8(8 + 5x) = 3.5 + -1(x + -3) (8 * 0.8 + 5x * 0.8) = 3.5 + -1(x + -3) (6.4 + 4x) = 3.5 + -1(x + -3) Reorder the terms: 6.4 + 4x = 3.5 + -1(-3 + x) 6.4 + 4x = 3.5 + (-3 * -1 + x * -1) 6.4 + 4x = 3.5 + (3 + -1x) Combine like terms: 3.5 + 3 = 6.5 6.4 + 4x = 6.5 + -1x Solving 6.4 + 4x = 6.5 + -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. 6.4 + 4x + x = 6.5 + -1x + x Combine like terms: 4x + x = 5x 6.4 + 5x = 6.5 + -1x + x Combine like terms: -1x + x = 0 6.4 + 5x = 6.5 + 0 6.4 + 5x = 6.5 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 5x = 6.5 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 5x = 6.5 + -6.4 5x = 6.5 + -6.4 Combine like terms: 6.5 + -6.4 = 0.1 5x = 0.1 Divide each side by '5'. x = 0.02 Simplifying x = 0.02
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