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Simplifying 6x + 7 = 5(x + 1) Reorder the terms: 7 + 6x = 5(x + 1) Reorder the terms: 7 + 6x = 5(1 + x) 7 + 6x = (1 * 5 + x * 5) 7 + 6x = (5 + 5x) Solving 7 + 6x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x 7 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 1x = 5 + 0 7 + 1x = 5 Add '-7' to each side of the equation. 7 + -7 + 1x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 5 + -7 1x = 5 + -7 Combine like terms: 5 + -7 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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