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Simplifying 2(4x + -12) + 3 = 6x + 1 Reorder the terms: 2(-12 + 4x) + 3 = 6x + 1 (-12 * 2 + 4x * 2) + 3 = 6x + 1 (-24 + 8x) + 3 = 6x + 1 Reorder the terms: -24 + 3 + 8x = 6x + 1 Combine like terms: -24 + 3 = -21 -21 + 8x = 6x + 1 Reorder the terms: -21 + 8x = 1 + 6x Solving -21 + 8x = 1 + 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. -21 + 8x + -6x = 1 + 6x + -6x Combine like terms: 8x + -6x = 2x -21 + 2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 2x = 1 + 0 -21 + 2x = 1 Add '21' to each side of the equation. -21 + 21 + 2x = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 1 + 21 2x = 1 + 21 Combine like terms: 1 + 21 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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