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Simplifying 4(x + -13) + 2(6 + -1x) = 0 Reorder the terms: 4(-13 + x) + 2(6 + -1x) = 0 (-13 * 4 + x * 4) + 2(6 + -1x) = 0 (-52 + 4x) + 2(6 + -1x) = 0 -52 + 4x + (6 * 2 + -1x * 2) = 0 -52 + 4x + (12 + -2x) = 0 Reorder the terms: -52 + 12 + 4x + -2x = 0 Combine like terms: -52 + 12 = -40 -40 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -40 + 2x = 0 Solving -40 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 2x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 0 + 40 2x = 0 + 40 Combine like terms: 0 + 40 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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