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Simplifying 6(x + 5) = x + -35 Reorder the terms: 6(5 + x) = x + -35 (5 * 6 + x * 6) = x + -35 (30 + 6x) = x + -35 Reorder the terms: 30 + 6x = -35 + x Solving 30 + 6x = -35 + 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 = -35 + x + -1x Combine like terms: 6x + -1x = 5x 30 + 5x = -35 + x + -1x Combine like terms: x + -1x = 0 30 + 5x = -35 + 0 30 + 5x = -35 Add '-30' to each side of the equation. 30 + -30 + 5x = -35 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -35 + -30 5x = -35 + -30 Combine like terms: -35 + -30 = -65 5x = -65 Divide each side by '5'. x = -13 Simplifying x = -13
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