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Simplifying 3(6x + 2) + -6x = 4(x + 8) + -12 Reorder the terms: 3(2 + 6x) + -6x = 4(x + 8) + -12 (2 * 3 + 6x * 3) + -6x = 4(x + 8) + -12 (6 + 18x) + -6x = 4(x + 8) + -12 Combine like terms: 18x + -6x = 12x 6 + 12x = 4(x + 8) + -12 Reorder the terms: 6 + 12x = 4(8 + x) + -12 6 + 12x = (8 * 4 + x * 4) + -12 6 + 12x = (32 + 4x) + -12 Reorder the terms: 6 + 12x = 32 + -12 + 4x Combine like terms: 32 + -12 = 20 6 + 12x = 20 + 4x Solving 6 + 12x = 20 + 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. 6 + 12x + -4x = 20 + 4x + -4x Combine like terms: 12x + -4x = 8x 6 + 8x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 8x = 20 + 0 6 + 8x = 20 Add '-6' to each side of the equation. 6 + -6 + 8x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 20 + -6 8x = 20 + -6 Combine like terms: 20 + -6 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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