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Simplifying 8x + 3 = 3(2x + 1) + x + 5 Reorder the terms: 3 + 8x = 3(2x + 1) + x + 5 Reorder the terms: 3 + 8x = 3(1 + 2x) + x + 5 3 + 8x = (1 * 3 + 2x * 3) + x + 5 3 + 8x = (3 + 6x) + x + 5 Reorder the terms: 3 + 8x = 3 + 5 + 6x + x Combine like terms: 3 + 5 = 8 3 + 8x = 8 + 6x + x Combine like terms: 6x + x = 7x 3 + 8x = 8 + 7x Solving 3 + 8x = 8 + 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. 3 + 8x + -7x = 8 + 7x + -7x Combine like terms: 8x + -7x = 1x 3 + 1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 1x = 8 + 0 3 + 1x = 8 Add '-3' to each side of the equation. 3 + -3 + 1x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 8 + -3 1x = 8 + -3 Combine like terms: 8 + -3 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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