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