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Simplifying -6(x + 5) = x + 5 Reorder the terms: -6(5 + x) = x + 5 (5 * -6 + x * -6) = x + 5 (-30 + -6x) = x + 5 Reorder the terms: -30 + -6x = 5 + x Solving -30 + -6x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + -6x + -1x = 5 + x + -1x Combine like terms: -6x + -1x = -7x -30 + -7x = 5 + x + -1x Combine like terms: x + -1x = 0 -30 + -7x = 5 + 0 -30 + -7x = 5 Add '30' to each side of the equation. -30 + 30 + -7x = 5 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = 5 + 30 -7x = 5 + 30 Combine like terms: 5 + 30 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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