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Simplifying 4(-1 + 3x) + 7(-2 + 8x) = 50 (-1 * 4 + 3x * 4) + 7(-2 + 8x) = 50 (-4 + 12x) + 7(-2 + 8x) = 50 -4 + 12x + (-2 * 7 + 8x * 7) = 50 -4 + 12x + (-14 + 56x) = 50 Reorder the terms: -4 + -14 + 12x + 56x = 50 Combine like terms: -4 + -14 = -18 -18 + 12x + 56x = 50 Combine like terms: 12x + 56x = 68x -18 + 68x = 50 Solving -18 + 68x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 68x = 50 + 18 Combine like terms: -18 + 18 = 0 0 + 68x = 50 + 18 68x = 50 + 18 Combine like terms: 50 + 18 = 68 68x = 68 Divide each side by '68'. x = 1 Simplifying x = 1
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