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Simplifying 40x + 290 = 15x + 75(7x + 35) Reorder the terms: 290 + 40x = 15x + 75(7x + 35) Reorder the terms: 290 + 40x = 15x + 75(35 + 7x) 290 + 40x = 15x + (35 * 75 + 7x * 75) 290 + 40x = 15x + (2625 + 525x) Reorder the terms: 290 + 40x = 2625 + 15x + 525x Combine like terms: 15x + 525x = 540x 290 + 40x = 2625 + 540x Solving 290 + 40x = 2625 + 540x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-540x' to each side of the equation. 290 + 40x + -540x = 2625 + 540x + -540x Combine like terms: 40x + -540x = -500x 290 + -500x = 2625 + 540x + -540x Combine like terms: 540x + -540x = 0 290 + -500x = 2625 + 0 290 + -500x = 2625 Add '-290' to each side of the equation. 290 + -290 + -500x = 2625 + -290 Combine like terms: 290 + -290 = 0 0 + -500x = 2625 + -290 -500x = 2625 + -290 Combine like terms: 2625 + -290 = 2335 -500x = 2335 Divide each side by '-500'. x = -4.67 Simplifying x = -4.67
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