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Simplifying 6x + -3(x + -4) = 2(3x + -8) Reorder the terms: 6x + -3(-4 + x) = 2(3x + -8) 6x + (-4 * -3 + x * -3) = 2(3x + -8) 6x + (12 + -3x) = 2(3x + -8) Reorder the terms: 12 + 6x + -3x = 2(3x + -8) Combine like terms: 6x + -3x = 3x 12 + 3x = 2(3x + -8) Reorder the terms: 12 + 3x = 2(-8 + 3x) 12 + 3x = (-8 * 2 + 3x * 2) 12 + 3x = (-16 + 6x) Solving 12 + 3x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 3x + -6x = -16 + 6x + -6x Combine like terms: 3x + -6x = -3x 12 + -3x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -3x = -16 + 0 12 + -3x = -16 Add '-12' to each side of the equation. 12 + -12 + -3x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -16 + -12 -3x = -16 + -12 Combine like terms: -16 + -12 = -28 -3x = -28 Divide each side by '-3'. x = 9.333333333 Simplifying x = 9.333333333
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