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Simplifying -24 = 6x + -3(7x + -22) Reorder the terms: -24 = 6x + -3(-22 + 7x) -24 = 6x + (-22 * -3 + 7x * -3) -24 = 6x + (66 + -21x) Reorder the terms: -24 = 66 + 6x + -21x Combine like terms: 6x + -21x = -15x -24 = 66 + -15x Solving -24 = 66 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -24 + 15x = 66 + -15x + 15x Combine like terms: -15x + 15x = 0 -24 + 15x = 66 + 0 -24 + 15x = 66 Add '24' to each side of the equation. -24 + 24 + 15x = 66 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 66 + 24 15x = 66 + 24 Combine like terms: 66 + 24 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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