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Simplifying 6(2 + -1x) = 4 + -2(x + 4) (2 * 6 + -1x * 6) = 4 + -2(x + 4) (12 + -6x) = 4 + -2(x + 4) Reorder the terms: 12 + -6x = 4 + -2(4 + x) 12 + -6x = 4 + (4 * -2 + x * -2) 12 + -6x = 4 + (-8 + -2x) Combine like terms: 4 + -8 = -4 12 + -6x = -4 + -2x Solving 12 + -6x = -4 + -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 + -6x + 2x = -4 + -2x + 2x Combine like terms: -6x + 2x = -4x 12 + -4x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -4x = -4 + 0 12 + -4x = -4 Add '-12' to each side of the equation. 12 + -12 + -4x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -4 + -12 -4x = -4 + -12 Combine like terms: -4 + -12 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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