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Simplifying 15x + -46 = 6x + -10 + 11x Reorder the terms: -46 + 15x = 6x + -10 + 11x Reorder the terms: -46 + 15x = -10 + 6x + 11x Combine like terms: 6x + 11x = 17x -46 + 15x = -10 + 17x Solving -46 + 15x = -10 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -46 + 15x + -17x = -10 + 17x + -17x Combine like terms: 15x + -17x = -2x -46 + -2x = -10 + 17x + -17x Combine like terms: 17x + -17x = 0 -46 + -2x = -10 + 0 -46 + -2x = -10 Add '46' to each side of the equation. -46 + 46 + -2x = -10 + 46 Combine like terms: -46 + 46 = 0 0 + -2x = -10 + 46 -2x = -10 + 46 Combine like terms: -10 + 46 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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