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Simplifying 22 = 6(x + 7) + 4x Reorder the terms: 22 = 6(7 + x) + 4x 22 = (7 * 6 + x * 6) + 4x 22 = (42 + 6x) + 4x Combine like terms: 6x + 4x = 10x 22 = 42 + 10x Solving 22 = 42 + 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 + -10x = 42 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -10x = 42 + 0 22 + -10x = 42 Add '-22' to each side of the equation. 22 + -22 + -10x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = 42 + -22 -10x = 42 + -22 Combine like terms: 42 + -22 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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