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Simplifying 4(x + -1) + 2(x + 7) = 12 Reorder the terms: 4(-1 + x) + 2(x + 7) = 12 (-1 * 4 + x * 4) + 2(x + 7) = 12 (-4 + 4x) + 2(x + 7) = 12 Reorder the terms: -4 + 4x + 2(7 + x) = 12 -4 + 4x + (7 * 2 + x * 2) = 12 -4 + 4x + (14 + 2x) = 12 Reorder the terms: -4 + 14 + 4x + 2x = 12 Combine like terms: -4 + 14 = 10 10 + 4x + 2x = 12 Combine like terms: 4x + 2x = 6x 10 + 6x = 12 Solving 10 + 6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 12 + -10 6x = 12 + -10 Combine like terms: 12 + -10 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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