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Simplifying 2(3x + -1) + 12 = 4(x + 8) Reorder the terms: 2(-1 + 3x) + 12 = 4(x + 8) (-1 * 2 + 3x * 2) + 12 = 4(x + 8) (-2 + 6x) + 12 = 4(x + 8) Reorder the terms: -2 + 12 + 6x = 4(x + 8) Combine like terms: -2 + 12 = 10 10 + 6x = 4(x + 8) Reorder the terms: 10 + 6x = 4(8 + x) 10 + 6x = (8 * 4 + x * 4) 10 + 6x = (32 + 4x) Solving 10 + 6x = 32 + 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. 10 + 6x + -4x = 32 + 4x + -4x Combine like terms: 6x + -4x = 2x 10 + 2x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 2x = 32 + 0 10 + 2x = 32 Add '-10' to each side of the equation. 10 + -10 + 2x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 32 + -10 2x = 32 + -10 Combine like terms: 32 + -10 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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