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Simplifying 15x + -10 = 7x + 46 Reorder the terms: -10 + 15x = 7x + 46 Reorder the terms: -10 + 15x = 46 + 7x Solving -10 + 15x = 46 + 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. -10 + 15x + -7x = 46 + 7x + -7x Combine like terms: 15x + -7x = 8x -10 + 8x = 46 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 8x = 46 + 0 -10 + 8x = 46 Add '10' to each side of the equation. -10 + 10 + 8x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 46 + 10 8x = 46 + 10 Combine like terms: 46 + 10 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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