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Simplifying 0.55x + 0.40(160 + -1x) = 0.65x 0.55x + (160 * 0.40 + -1x * 0.40) = 0.65x 0.55x + (64 + -0.4x) = 0.65x Reorder the terms: 64 + 0.55x + -0.4x = 0.65x Combine like terms: 0.55x + -0.4x = 0.15x 64 + 0.15x = 0.65x Solving 64 + 0.15x = 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 64 + 0.15x + -0.65x = 0.65x + -0.65x Combine like terms: 0.15x + -0.65x = -0.5x 64 + -0.5x = 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 64 + -0.5x = 0.00 Add '-64' to each side of the equation. 64 + -64 + -0.5x = 0.00 + -64 Combine like terms: 64 + -64 = 0 0 + -0.5x = 0.00 + -64 -0.5x = 0.00 + -64 Combine like terms: 0.00 + -64 = -64 -0.5x = -64 Divide each side by '-0.5'. x = 128 Simplifying x = 128
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