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Simplifying 5x + 8 = 3 + 2(3x + 4) Reorder the terms: 8 + 5x = 3 + 2(3x + 4) Reorder the terms: 8 + 5x = 3 + 2(4 + 3x) 8 + 5x = 3 + (4 * 2 + 3x * 2) 8 + 5x = 3 + (8 + 6x) Combine like terms: 3 + 8 = 11 8 + 5x = 11 + 6x Solving 8 + 5x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 5x + -6x = 11 + 6x + -6x Combine like terms: 5x + -6x = -1x 8 + -1x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -1x = 11 + 0 8 + -1x = 11 Add '-8' to each side of the equation. 8 + -8 + -1x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 11 + -8 -1x = 11 + -8 Combine like terms: 11 + -8 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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