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Simplifying 24x + -2(x + -6) = 6(3x + 2) Reorder the terms: 24x + -2(-6 + x) = 6(3x + 2) 24x + (-6 * -2 + x * -2) = 6(3x + 2) 24x + (12 + -2x) = 6(3x + 2) Reorder the terms: 12 + 24x + -2x = 6(3x + 2) Combine like terms: 24x + -2x = 22x 12 + 22x = 6(3x + 2) Reorder the terms: 12 + 22x = 6(2 + 3x) 12 + 22x = (2 * 6 + 3x * 6) 12 + 22x = (12 + 18x) Add '-12' to each side of the equation. 12 + -12 + 22x = 12 + -12 + 18x Combine like terms: 12 + -12 = 0 0 + 22x = 12 + -12 + 18x 22x = 12 + -12 + 18x Combine like terms: 12 + -12 = 0 22x = 0 + 18x 22x = 18x Solving 22x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 22x + -18x = 18x + -18x Combine like terms: 22x + -18x = 4x 4x = 18x + -18x Combine like terms: 18x + -18x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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