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Simplifying 3(x + 6) + 2x + -6 = 8x + -2(2x + -4) Reorder the terms: 3(6 + x) + 2x + -6 = 8x + -2(2x + -4) (6 * 3 + x * 3) + 2x + -6 = 8x + -2(2x + -4) (18 + 3x) + 2x + -6 = 8x + -2(2x + -4) Reorder the terms: 18 + -6 + 3x + 2x = 8x + -2(2x + -4) Combine like terms: 18 + -6 = 12 12 + 3x + 2x = 8x + -2(2x + -4) Combine like terms: 3x + 2x = 5x 12 + 5x = 8x + -2(2x + -4) Reorder the terms: 12 + 5x = 8x + -2(-4 + 2x) 12 + 5x = 8x + (-4 * -2 + 2x * -2) 12 + 5x = 8x + (8 + -4x) Reorder the terms: 12 + 5x = 8 + 8x + -4x Combine like terms: 8x + -4x = 4x 12 + 5x = 8 + 4x Solving 12 + 5x = 8 + 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. 12 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 12 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 1x = 8 + 0 12 + 1x = 8 Add '-12' to each side of the equation. 12 + -12 + 1x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 8 + -12 1x = 8 + -12 Combine like terms: 8 + -12 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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