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Simplifying x + 6(x + -5) = -6(1 + -1x) Reorder the terms: x + 6(-5 + x) = -6(1 + -1x) x + (-5 * 6 + x * 6) = -6(1 + -1x) x + (-30 + 6x) = -6(1 + -1x) Reorder the terms: -30 + x + 6x = -6(1 + -1x) Combine like terms: x + 6x = 7x -30 + 7x = -6(1 + -1x) -30 + 7x = (1 * -6 + -1x * -6) -30 + 7x = (-6 + 6x) Solving -30 + 7x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -30 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 1x = -6 + 0 -30 + 1x = -6 Add '30' to each side of the equation. -30 + 30 + 1x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -6 + 30 1x = -6 + 30 Combine like terms: -6 + 30 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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