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Simplifying 3(8x + -2) = 3(4 + 2x) Reorder the terms: 3(-2 + 8x) = 3(4 + 2x) (-2 * 3 + 8x * 3) = 3(4 + 2x) (-6 + 24x) = 3(4 + 2x) -6 + 24x = (4 * 3 + 2x * 3) -6 + 24x = (12 + 6x) Solving -6 + 24x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 24x + -6x = 12 + 6x + -6x Combine like terms: 24x + -6x = 18x -6 + 18x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 18x = 12 + 0 -6 + 18x = 12 Add '6' to each side of the equation. -6 + 6 + 18x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 12 + 6 18x = 12 + 6 Combine like terms: 12 + 6 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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