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Simplifying 0.4(10x + 15) = 2(x + 10) Reorder the terms: 0.4(15 + 10x) = 2(x + 10) (15 * 0.4 + 10x * 0.4) = 2(x + 10) (6 + 4x) = 2(x + 10) Reorder the terms: 6 + 4x = 2(10 + x) 6 + 4x = (10 * 2 + x * 2) 6 + 4x = (20 + 2x) Solving 6 + 4x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = 20 + 0 6 + 2x = 20 Add '-6' to each side of the equation. 6 + -6 + 2x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 20 + -6 2x = 20 + -6 Combine like terms: 20 + -6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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