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Simplifying 12(x + -3) + 6 = 2(2x + 1) Reorder the terms: 12(-3 + x) + 6 = 2(2x + 1) (-3 * 12 + x * 12) + 6 = 2(2x + 1) (-36 + 12x) + 6 = 2(2x + 1) Reorder the terms: -36 + 6 + 12x = 2(2x + 1) Combine like terms: -36 + 6 = -30 -30 + 12x = 2(2x + 1) Reorder the terms: -30 + 12x = 2(1 + 2x) -30 + 12x = (1 * 2 + 2x * 2) -30 + 12x = (2 + 4x) Solving -30 + 12x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 12x + -4x = 2 + 4x + -4x Combine like terms: 12x + -4x = 8x -30 + 8x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 8x = 2 + 0 -30 + 8x = 2 Add '30' to each side of the equation. -30 + 30 + 8x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 2 + 30 8x = 2 + 30 Combine like terms: 2 + 30 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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