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Simplifying 0.65(1 + -1x) + 0.8x = x (1 * 0.65 + -1x * 0.65) + 0.8x = x (0.65 + -0.65x) + 0.8x = x Combine like terms: -0.65x + 0.8x = 0.15x 0.65 + 0.15x = x Solving 0.65 + 0.15x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.65 + 0.15x + -1x = x + -1x Combine like terms: 0.15x + -1x = -0.85x 0.65 + -0.85x = x + -1x Combine like terms: x + -1x = 0 0.65 + -0.85x = 0 Add '-0.65' to each side of the equation. 0.65 + -0.65 + -0.85x = 0 + -0.65 Combine like terms: 0.65 + -0.65 = 0.00 0.00 + -0.85x = 0 + -0.65 -0.85x = 0 + -0.65 Combine like terms: 0 + -0.65 = -0.65 -0.85x = -0.65 Divide each side by '-0.85'. x = 0.7647058824 Simplifying x = 0.7647058824
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