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Simplifying 5(x + 2) = 4(2x + 1) Reorder the terms: 5(2 + x) = 4(2x + 1) (2 * 5 + x * 5) = 4(2x + 1) (10 + 5x) = 4(2x + 1) Reorder the terms: 10 + 5x = 4(1 + 2x) 10 + 5x = (1 * 4 + 2x * 4) 10 + 5x = (4 + 8x) Solving 10 + 5x = 4 + 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. 10 + 5x + -8x = 4 + 8x + -8x Combine like terms: 5x + -8x = -3x 10 + -3x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -3x = 4 + 0 10 + -3x = 4 Add '-10' to each side of the equation. 10 + -10 + -3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 4 + -10 -3x = 4 + -10 Combine like terms: 4 + -10 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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