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Simplifying 6(x + -3) + 4(5 + -1x) + -6 = 0 Reorder the terms: 6(-3 + x) + 4(5 + -1x) + -6 = 0 (-3 * 6 + x * 6) + 4(5 + -1x) + -6 = 0 (-18 + 6x) + 4(5 + -1x) + -6 = 0 -18 + 6x + (5 * 4 + -1x * 4) + -6 = 0 -18 + 6x + (20 + -4x) + -6 = 0 Reorder the terms: -18 + 20 + -6 + 6x + -4x = 0 Combine like terms: -18 + 20 = 2 2 + -6 + 6x + -4x = 0 Combine like terms: 2 + -6 = -4 -4 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -4 + 2x = 0 Solving -4 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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