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Simplifying 24x + -22 = 5(1 + 6x) Reorder the terms: -22 + 24x = 5(1 + 6x) -22 + 24x = (1 * 5 + 6x * 5) -22 + 24x = (5 + 30x) Solving -22 + 24x = 5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -22 + 24x + -30x = 5 + 30x + -30x Combine like terms: 24x + -30x = -6x -22 + -6x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 -22 + -6x = 5 + 0 -22 + -6x = 5 Add '22' to each side of the equation. -22 + 22 + -6x = 5 + 22 Combine like terms: -22 + 22 = 0 0 + -6x = 5 + 22 -6x = 5 + 22 Combine like terms: 5 + 22 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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