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Simplifying 12(x + -2) + 6(5 + -1x) = 4x + -6 Reorder the terms: 12(-2 + x) + 6(5 + -1x) = 4x + -6 (-2 * 12 + x * 12) + 6(5 + -1x) = 4x + -6 (-24 + 12x) + 6(5 + -1x) = 4x + -6 -24 + 12x + (5 * 6 + -1x * 6) = 4x + -6 -24 + 12x + (30 + -6x) = 4x + -6 Reorder the terms: -24 + 30 + 12x + -6x = 4x + -6 Combine like terms: -24 + 30 = 6 6 + 12x + -6x = 4x + -6 Combine like terms: 12x + -6x = 6x 6 + 6x = 4x + -6 Reorder the terms: 6 + 6x = -6 + 4x Solving 6 + 6x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 6x + -4x = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -6 + 0 6 + 2x = -6 Add '-6' to each side of the equation. 6 + -6 + 2x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -6 + -6 2x = -6 + -6 Combine like terms: -6 + -6 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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