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Simplifying 12(2x + -3) = 6(3x + 1) Reorder the terms: 12(-3 + 2x) = 6(3x + 1) (-3 * 12 + 2x * 12) = 6(3x + 1) (-36 + 24x) = 6(3x + 1) Reorder the terms: -36 + 24x = 6(1 + 3x) -36 + 24x = (1 * 6 + 3x * 6) -36 + 24x = (6 + 18x) Solving -36 + 24x = 6 + 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. -36 + 24x + -18x = 6 + 18x + -18x Combine like terms: 24x + -18x = 6x -36 + 6x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -36 + 6x = 6 + 0 -36 + 6x = 6 Add '36' to each side of the equation. -36 + 36 + 6x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 6 + 36 6x = 6 + 36 Combine like terms: 6 + 36 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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