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Simplifying 6 + -3(x + -2) = 4x + -1(x + 8) Reorder the terms: 6 + -3(-2 + x) = 4x + -1(x + 8) 6 + (-2 * -3 + x * -3) = 4x + -1(x + 8) 6 + (6 + -3x) = 4x + -1(x + 8) Combine like terms: 6 + 6 = 12 12 + -3x = 4x + -1(x + 8) Reorder the terms: 12 + -3x = 4x + -1(8 + x) 12 + -3x = 4x + (8 * -1 + x * -1) 12 + -3x = 4x + (-8 + -1x) Reorder the terms: 12 + -3x = -8 + 4x + -1x Combine like terms: 4x + -1x = 3x 12 + -3x = -8 + 3x Solving 12 + -3x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -3x + -3x = -8 + 3x + -3x Combine like terms: -3x + -3x = -6x 12 + -6x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -6x = -8 + 0 12 + -6x = -8 Add '-12' to each side of the equation. 12 + -12 + -6x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -8 + -12 -6x = -8 + -12 Combine like terms: -8 + -12 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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