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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 = -18 -18 + 4x + 2x = 12 Combine like terms: 4x + 2x = 6x -18 + 6x = 12 Solving -18 + 6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 12 + 18 6x = 12 + 18 Combine like terms: 12 + 18 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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