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Simplifying 5(6x + -1) + -4(3 + -4x) = 6 Reorder the terms: 5(-1 + 6x) + -4(3 + -4x) = 6 (-1 * 5 + 6x * 5) + -4(3 + -4x) = 6 (-5 + 30x) + -4(3 + -4x) = 6 -5 + 30x + (3 * -4 + -4x * -4) = 6 -5 + 30x + (-12 + 16x) = 6 Reorder the terms: -5 + -12 + 30x + 16x = 6 Combine like terms: -5 + -12 = -17 -17 + 30x + 16x = 6 Combine like terms: 30x + 16x = 46x -17 + 46x = 6 Solving -17 + 46x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 46x = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 46x = 6 + 17 46x = 6 + 17 Combine like terms: 6 + 17 = 23 46x = 23 Divide each side by '46'. x = 0.5 Simplifying x = 0.5
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