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Simplifying 2(x + 4) + -6x = 5(x + 2) + 8 Reorder the terms: 2(4 + x) + -6x = 5(x + 2) + 8 (4 * 2 + x * 2) + -6x = 5(x + 2) + 8 (8 + 2x) + -6x = 5(x + 2) + 8 Combine like terms: 2x + -6x = -4x 8 + -4x = 5(x + 2) + 8 Reorder the terms: 8 + -4x = 5(2 + x) + 8 8 + -4x = (2 * 5 + x * 5) + 8 8 + -4x = (10 + 5x) + 8 Reorder the terms: 8 + -4x = 10 + 8 + 5x Combine like terms: 10 + 8 = 18 8 + -4x = 18 + 5x Solving 8 + -4x = 18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -4x + -5x = 18 + 5x + -5x Combine like terms: -4x + -5x = -9x 8 + -9x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -9x = 18 + 0 8 + -9x = 18 Add '-8' to each side of the equation. 8 + -8 + -9x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 18 + -8 -9x = 18 + -8 Combine like terms: 18 + -8 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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