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Simplifying 0.4(15 + -10x) = 0.2(15 + -10x) (15 * 0.4 + -10x * 0.4) = 0.2(15 + -10x) (6 + -4x) = 0.2(15 + -10x) 6 + -4x = (15 * 0.2 + -10x * 0.2) 6 + -4x = (3 + -2x) Solving 6 + -4x = 3 + -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 = 3 + -2x + 2x Combine like terms: -4x + 2x = -2x 6 + -2x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -2x = 3 + 0 6 + -2x = 3 Add '-6' to each side of the equation. 6 + -6 + -2x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 3 + -6 -2x = 3 + -6 Combine like terms: 3 + -6 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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