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Simplifying 15(x + -6) + 61 = 46 Reorder the terms: 15(-6 + x) + 61 = 46 (-6 * 15 + x * 15) + 61 = 46 (-90 + 15x) + 61 = 46 Reorder the terms: -90 + 61 + 15x = 46 Combine like terms: -90 + 61 = -29 -29 + 15x = 46 Solving -29 + 15x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 15x = 46 + 29 Combine like terms: -29 + 29 = 0 0 + 15x = 46 + 29 15x = 46 + 29 Combine like terms: 46 + 29 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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