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Simplifying 0.9 = (0.4 + x) + -1(0.4x) Remove parenthesis around (0.4 + x) 0.9 = 0.4 + x + -1(0.4x) Remove parenthesis around (0.4x) 0.9 = 0.4 + x + -1 * 0.4x Multiply -1 * 0.4 0.9 = 0.4 + x + -0.4x Combine like terms: x + -0.4x = 0.6x 0.9 = 0.4 + 0.6x Solving 0.9 = 0.4 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 0.9 + -0.6x = 0.4 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.9 + -0.6x = 0.4 + 0.0 0.9 + -0.6x = 0.4 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.6x = 0.4 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.6x = 0.4 + -0.9 -0.6x = 0.4 + -0.9 Combine like terms: 0.4 + -0.9 = -0.5 -0.6x = -0.5 Divide each side by '-0.6'. x = 0.8333333333 Simplifying x = 0.8333333333
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