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Simplifying 0.25x + 0.45(3x) + 0.05(20 + -4x) = 20(3) Remove parenthesis around (3x) 0.25x + 0.45 * 3x + 0.05(20 + -4x) = 20(3) Multiply 0.45 * 3 0.25x + 1.35x + 0.05(20 + -4x) = 20(3) 0.25x + 1.35x + (20 * 0.05 + -4x * 0.05) = 20(3) 0.25x + 1.35x + (1 + -0.2x) = 20(3) Reorder the terms: 1 + 0.25x + 1.35x + -0.2x = 20(3) Combine like terms: 0.25x + 1.35x = 1.6x 1 + 1.6x + -0.2x = 20(3) Combine like terms: 1.6x + -0.2x = 1.4x 1 + 1.4x = 20(3) Multiply 20 * 3 1 + 1.4x = 60 Solving 1 + 1.4x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1.4x = 60 + -1 Combine like terms: 1 + -1 = 0 0 + 1.4x = 60 + -1 1.4x = 60 + -1 Combine like terms: 60 + -1 = 59 1.4x = 59 Divide each side by '1.4'. x = 42.14285714 Simplifying x = 42.14285714
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