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Simplifying 6x + 3(4 + -1x) = 8 + -2(x + 3) 6x + (4 * 3 + -1x * 3) = 8 + -2(x + 3) 6x + (12 + -3x) = 8 + -2(x + 3) Reorder the terms: 12 + 6x + -3x = 8 + -2(x + 3) Combine like terms: 6x + -3x = 3x 12 + 3x = 8 + -2(x + 3) Reorder the terms: 12 + 3x = 8 + -2(3 + x) 12 + 3x = 8 + (3 * -2 + x * -2) 12 + 3x = 8 + (-6 + -2x) Combine like terms: 8 + -6 = 2 12 + 3x = 2 + -2x Solving 12 + 3x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 3x + 2x = 2 + -2x + 2x Combine like terms: 3x + 2x = 5x 12 + 5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 5x = 2 + 0 12 + 5x = 2 Add '-12' to each side of the equation. 12 + -12 + 5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 2 + -12 5x = 2 + -12 Combine like terms: 2 + -12 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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