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Simplifying 5x + 3 = 4(x + 8) Reorder the terms: 3 + 5x = 4(x + 8) Reorder the terms: 3 + 5x = 4(8 + x) 3 + 5x = (8 * 4 + x * 4) 3 + 5x = (32 + 4x) Solving 3 + 5x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 5x + -4x = 32 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = 32 + 0 3 + 1x = 32 Add '-3' to each side of the equation. 3 + -3 + 1x = 32 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 32 + -3 1x = 32 + -3 Combine like terms: 32 + -3 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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