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Simplifying -24 + 12x = 2(x + -3) + 22 Reorder the terms: -24 + 12x = 2(-3 + x) + 22 -24 + 12x = (-3 * 2 + x * 2) + 22 -24 + 12x = (-6 + 2x) + 22 Reorder the terms: -24 + 12x = -6 + 22 + 2x Combine like terms: -6 + 22 = 16 -24 + 12x = 16 + 2x Solving -24 + 12x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 12x + -2x = 16 + 2x + -2x Combine like terms: 12x + -2x = 10x -24 + 10x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 10x = 16 + 0 -24 + 10x = 16 Add '24' to each side of the equation. -24 + 24 + 10x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 16 + 24 10x = 16 + 24 Combine like terms: 16 + 24 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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