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Simplifying 5x + 8 = 4(x + 13) Reorder the terms: 8 + 5x = 4(x + 13) Reorder the terms: 8 + 5x = 4(13 + x) 8 + 5x = (13 * 4 + x * 4) 8 + 5x = (52 + 4x) Solving 8 + 5x = 52 + 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. 8 + 5x + -4x = 52 + 4x + -4x Combine like terms: 5x + -4x = 1x 8 + 1x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 1x = 52 + 0 8 + 1x = 52 Add '-8' to each side of the equation. 8 + -8 + 1x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 52 + -8 1x = 52 + -8 Combine like terms: 52 + -8 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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