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Simplifying 5(x + 6) = x + 7 Reorder the terms: 5(6 + x) = x + 7 (6 * 5 + x * 5) = x + 7 (30 + 5x) = x + 7 Reorder the terms: 30 + 5x = 7 + x Solving 30 + 5x = 7 + 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 + 5x + -1x = 7 + x + -1x Combine like terms: 5x + -1x = 4x 30 + 4x = 7 + x + -1x Combine like terms: x + -1x = 0 30 + 4x = 7 + 0 30 + 4x = 7 Add '-30' to each side of the equation. 30 + -30 + 4x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 7 + -30 4x = 7 + -30 Combine like terms: 7 + -30 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75
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