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Simplifying 6(x + -2) + -3(x + 1) = 0 Reorder the terms: 6(-2 + x) + -3(x + 1) = 0 (-2 * 6 + x * 6) + -3(x + 1) = 0 (-12 + 6x) + -3(x + 1) = 0 Reorder the terms: -12 + 6x + -3(1 + x) = 0 -12 + 6x + (1 * -3 + x * -3) = 0 -12 + 6x + (-3 + -3x) = 0 Reorder the terms: -12 + -3 + 6x + -3x = 0 Combine like terms: -12 + -3 = -15 -15 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x -15 + 3x = 0 Solving -15 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 0 + 15 3x = 0 + 15 Combine like terms: 0 + 15 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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