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Simplifying 8x + 42 = 15x + 40 Reorder the terms: 42 + 8x = 15x + 40 Reorder the terms: 42 + 8x = 40 + 15x Solving 42 + 8x = 40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 42 + 8x + -15x = 40 + 15x + -15x Combine like terms: 8x + -15x = -7x 42 + -7x = 40 + 15x + -15x Combine like terms: 15x + -15x = 0 42 + -7x = 40 + 0 42 + -7x = 40 Add '-42' to each side of the equation. 42 + -42 + -7x = 40 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 40 + -42 -7x = 40 + -42 Combine like terms: 40 + -42 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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