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Simplifying 4(x + 5) + 2 = 6x + 4(x + 2) Reorder the terms: 4(5 + x) + 2 = 6x + 4(x + 2) (5 * 4 + x * 4) + 2 = 6x + 4(x + 2) (20 + 4x) + 2 = 6x + 4(x + 2) Reorder the terms: 20 + 2 + 4x = 6x + 4(x + 2) Combine like terms: 20 + 2 = 22 22 + 4x = 6x + 4(x + 2) Reorder the terms: 22 + 4x = 6x + 4(2 + x) 22 + 4x = 6x + (2 * 4 + x * 4) 22 + 4x = 6x + (8 + 4x) Reorder the terms: 22 + 4x = 8 + 6x + 4x Combine like terms: 6x + 4x = 10x 22 + 4x = 8 + 10x Solving 22 + 4x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + 4x + -10x = 8 + 10x + -10x Combine like terms: 4x + -10x = -6x 22 + -6x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -6x = 8 + 0 22 + -6x = 8 Add '-22' to each side of the equation. 22 + -22 + -6x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = 8 + -22 -6x = 8 + -22 Combine like terms: 8 + -22 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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