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Simplifying 6(x + 5) = 7x + -1 Reorder the terms: 6(5 + x) = 7x + -1 (5 * 6 + x * 6) = 7x + -1 (30 + 6x) = 7x + -1 Reorder the terms: 30 + 6x = -1 + 7x Solving 30 + 6x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 6x + -7x = -1 + 7x + -7x Combine like terms: 6x + -7x = -1x 30 + -1x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -1x = -1 + 0 30 + -1x = -1 Add '-30' to each side of the equation. 30 + -30 + -1x = -1 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -1 + -30 -1x = -1 + -30 Combine like terms: -1 + -30 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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