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Simplifying 46(x + -61) = -68(x + -4) Reorder the terms: 46(-61 + x) = -68(x + -4) (-61 * 46 + x * 46) = -68(x + -4) (-2806 + 46x) = -68(x + -4) Reorder the terms: -2806 + 46x = -68(-4 + x) -2806 + 46x = (-4 * -68 + x * -68) -2806 + 46x = (272 + -68x) Solving -2806 + 46x = 272 + -68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68x' to each side of the equation. -2806 + 46x + 68x = 272 + -68x + 68x Combine like terms: 46x + 68x = 114x -2806 + 114x = 272 + -68x + 68x Combine like terms: -68x + 68x = 0 -2806 + 114x = 272 + 0 -2806 + 114x = 272 Add '2806' to each side of the equation. -2806 + 2806 + 114x = 272 + 2806 Combine like terms: -2806 + 2806 = 0 0 + 114x = 272 + 2806 114x = 272 + 2806 Combine like terms: 272 + 2806 = 3078 114x = 3078 Divide each side by '114'. x = 27 Simplifying x = 27
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