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Simplifying -4x + 22 = 6(x + 7) Reorder the terms: 22 + -4x = 6(x + 7) Reorder the terms: 22 + -4x = 6(7 + x) 22 + -4x = (7 * 6 + x * 6) 22 + -4x = (42 + 6x) Solving 22 + -4x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + -4x + -6x = 42 + 6x + -6x Combine like terms: -4x + -6x = -10x 22 + -10x = 42 + 6x + -6x Combine like terms: 6x + -6x = 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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