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Simplifying -30 = -4(x + 6) + 6(-7x + -1) Reorder the terms: -30 = -4(6 + x) + 6(-7x + -1) -30 = (6 * -4 + x * -4) + 6(-7x + -1) -30 = (-24 + -4x) + 6(-7x + -1) Reorder the terms: -30 = -24 + -4x + 6(-1 + -7x) -30 = -24 + -4x + (-1 * 6 + -7x * 6) -30 = -24 + -4x + (-6 + -42x) Reorder the terms: -30 = -24 + -6 + -4x + -42x Combine like terms: -24 + -6 = -30 -30 = -30 + -4x + -42x Combine like terms: -4x + -42x = -46x -30 = -30 + -46x Add '30' to each side of the equation. -30 + 30 = -30 + 30 + -46x Combine like terms: -30 + 30 = 0 0 = -30 + 30 + -46x Combine like terms: -30 + 30 = 0 0 = 0 + -46x 0 = -46x Solving 0 = -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. 0 + 46x = -46x + 46x Remove the zero: 46x = -46x + 46x Combine like terms: -46x + 46x = 0 46x = 0 Divide each side by '46'. x = 0 Simplifying x = 0
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