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Simplifying 24(x) + -2(6 + -1x) = 6(3x + 2) 24x + (6 * -2 + -1x * -2) = 6(3x + 2) 24x + (-12 + 2x) = 6(3x + 2) Reorder the terms: -12 + 24x + 2x = 6(3x + 2) Combine like terms: 24x + 2x = 26x -12 + 26x = 6(3x + 2) Reorder the terms: -12 + 26x = 6(2 + 3x) -12 + 26x = (2 * 6 + 3x * 6) -12 + 26x = (12 + 18x) Solving -12 + 26x = 12 + 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. -12 + 26x + -18x = 12 + 18x + -18x Combine like terms: 26x + -18x = 8x -12 + 8x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + 8x = 12 + 0 -12 + 8x = 12 Add '12' to each side of the equation. -12 + 12 + 8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 12 + 12 8x = 12 + 12 Combine like terms: 12 + 12 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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