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Simplifying 5(x + 1) + 3x = 7(x + 1) Reorder the terms: 5(1 + x) + 3x = 7(x + 1) (1 * 5 + x * 5) + 3x = 7(x + 1) (5 + 5x) + 3x = 7(x + 1) Combine like terms: 5x + 3x = 8x 5 + 8x = 7(x + 1) Reorder the terms: 5 + 8x = 7(1 + x) 5 + 8x = (1 * 7 + x * 7) 5 + 8x = (7 + 7x) Solving 5 + 8x = 7 + 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. 5 + 8x + -7x = 7 + 7x + -7x Combine like terms: 8x + -7x = 1x 5 + 1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 1x = 7 + 0 5 + 1x = 7 Add '-5' to each side of the equation. 5 + -5 + 1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 7 + -5 1x = 7 + -5 Combine like terms: 7 + -5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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