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Simplifying 0.95x + 0.40(130 + -1x) = 0.65x 0.95x + (130 * 0.40 + -1x * 0.40) = 0.65x 0.95x + (52 + -0.4x) = 0.65x Reorder the terms: 52 + 0.95x + -0.4x = 0.65x Combine like terms: 0.95x + -0.4x = 0.55x 52 + 0.55x = 0.65x Solving 52 + 0.55x = 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. 52 + 0.55x + -0.65x = 0.65x + -0.65x Combine like terms: 0.55x + -0.65x = -0.1x 52 + -0.1x = 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 52 + -0.1x = 0.00 Add '-52' to each side of the equation. 52 + -52 + -0.1x = 0.00 + -52 Combine like terms: 52 + -52 = 0 0 + -0.1x = 0.00 + -52 -0.1x = 0.00 + -52 Combine like terms: 0.00 + -52 = -52 -0.1x = -52 Divide each side by '-0.1'. x = 520 Simplifying x = 520
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