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Simplifying 5(x + 1) + 3x = 7x + 10 Reorder the terms: 5(1 + x) + 3x = 7x + 10 (1 * 5 + x * 5) + 3x = 7x + 10 (5 + 5x) + 3x = 7x + 10 Combine like terms: 5x + 3x = 8x 5 + 8x = 7x + 10 Reorder the terms: 5 + 8x = 10 + 7x Solving 5 + 8x = 10 + 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 = 10 + 7x + -7x Combine like terms: 8x + -7x = 1x 5 + 1x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 1x = 10 + 0 5 + 1x = 10 Add '-5' to each side of the equation. 5 + -5 + 1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 10 + -5 1x = 10 + -5 Combine like terms: 10 + -5 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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