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Simplifying 5 + 3(2x + 4) = 8x + -11 Reorder the terms: 5 + 3(4 + 2x) = 8x + -11 5 + (4 * 3 + 2x * 3) = 8x + -11 5 + (12 + 6x) = 8x + -11 Combine like terms: 5 + 12 = 17 17 + 6x = 8x + -11 Reorder the terms: 17 + 6x = -11 + 8x Solving 17 + 6x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17 + 6x + -8x = -11 + 8x + -8x Combine like terms: 6x + -8x = -2x 17 + -2x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -2x = -11 + 0 17 + -2x = -11 Add '-17' to each side of the equation. 17 + -17 + -2x = -11 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -11 + -17 -2x = -11 + -17 Combine like terms: -11 + -17 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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