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Simplifying 46 + 8x + -2 = 15x + 2 Reorder the terms: 46 + -2 + 8x = 15x + 2 Combine like terms: 46 + -2 = 44 44 + 8x = 15x + 2 Reorder the terms: 44 + 8x = 2 + 15x Solving 44 + 8x = 2 + 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. 44 + 8x + -15x = 2 + 15x + -15x Combine like terms: 8x + -15x = -7x 44 + -7x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 44 + -7x = 2 + 0 44 + -7x = 2 Add '-44' to each side of the equation. 44 + -44 + -7x = 2 + -44 Combine like terms: 44 + -44 = 0 0 + -7x = 2 + -44 -7x = 2 + -44 Combine like terms: 2 + -44 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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