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Simplifying 400(1.70) + 0.8x = 1.52(400 + x) Multiply 400 * 1.70 680 + 0.8x = 1.52(400 + x) 680 + 0.8x = (400 * 1.52 + x * 1.52) 680 + 0.8x = (608 + 1.52x) Solving 680 + 0.8x = 608 + 1.52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.52x' to each side of the equation. 680 + 0.8x + -1.52x = 608 + 1.52x + -1.52x Combine like terms: 0.8x + -1.52x = -0.72x 680 + -0.72x = 608 + 1.52x + -1.52x Combine like terms: 1.52x + -1.52x = 0.00 680 + -0.72x = 608 + 0.00 680 + -0.72x = 608 Add '-680' to each side of the equation. 680 + -680 + -0.72x = 608 + -680 Combine like terms: 680 + -680 = 0 0 + -0.72x = 608 + -680 -0.72x = 608 + -680 Combine like terms: 608 + -680 = -72 -0.72x = -72 Divide each side by '-0.72'. x = 100 Simplifying x = 100
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