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Simplifying 400(1.70) + 0.8x = 1.5(400 + x) Multiply 400 * 1.70 680 + 0.8x = 1.5(400 + x) 680 + 0.8x = (400 * 1.5 + x * 1.5) 680 + 0.8x = (600 + 1.5x) Solving 680 + 0.8x = 600 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 680 + 0.8x + -1.5x = 600 + 1.5x + -1.5x Combine like terms: 0.8x + -1.5x = -0.7x 680 + -0.7x = 600 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 680 + -0.7x = 600 + 0.0 680 + -0.7x = 600 Add '-680' to each side of the equation. 680 + -680 + -0.7x = 600 + -680 Combine like terms: 680 + -680 = 0 0 + -0.7x = 600 + -680 -0.7x = 600 + -680 Combine like terms: 600 + -680 = -80 -0.7x = -80 Divide each side by '-0.7'. x = 114.2857143 Simplifying x = 114.2857143
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