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Simplifying 5x + 8 = 4(x + 6) + 3 Reorder the terms: 8 + 5x = 4(x + 6) + 3 Reorder the terms: 8 + 5x = 4(6 + x) + 3 8 + 5x = (6 * 4 + x * 4) + 3 8 + 5x = (24 + 4x) + 3 Reorder the terms: 8 + 5x = 24 + 3 + 4x Combine like terms: 24 + 3 = 27 8 + 5x = 27 + 4x Solving 8 + 5x = 27 + 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 = 27 + 4x + -4x Combine like terms: 5x + -4x = 1x 8 + 1x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 1x = 27 + 0 8 + 1x = 27 Add '-8' to each side of the equation. 8 + -8 + 1x = 27 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 27 + -8 1x = 27 + -8 Combine like terms: 27 + -8 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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