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Simplifying 5(x + 2) = 8x + 2 + -5x + 4 Reorder the terms: 5(2 + x) = 8x + 2 + -5x + 4 (2 * 5 + x * 5) = 8x + 2 + -5x + 4 (10 + 5x) = 8x + 2 + -5x + 4 Reorder the terms: 10 + 5x = 2 + 4 + 8x + -5x Combine like terms: 2 + 4 = 6 10 + 5x = 6 + 8x + -5x Combine like terms: 8x + -5x = 3x 10 + 5x = 6 + 3x Solving 10 + 5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 6 + 0 10 + 2x = 6 Add '-10' to each side of the equation. 10 + -10 + 2x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 6 + -10 2x = 6 + -10 Combine like terms: 6 + -10 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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