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Simplifying 15x + 8 = 7x + 40 Reorder the terms: 8 + 15x = 7x + 40 Reorder the terms: 8 + 15x = 40 + 7x Solving 8 + 15x = 40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 15x + -7x = 40 + 7x + -7x Combine like terms: 15x + -7x = 8x 8 + 8x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 8x = 40 + 0 8 + 8x = 40 Add '-8' to each side of the equation. 8 + -8 + 8x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 40 + -8 8x = 40 + -8 Combine like terms: 40 + -8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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