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Simplifying 8(x + -3) + -2(x + 6) = 0 Reorder the terms: 8(-3 + x) + -2(x + 6) = 0 (-3 * 8 + x * 8) + -2(x + 6) = 0 (-24 + 8x) + -2(x + 6) = 0 Reorder the terms: -24 + 8x + -2(6 + x) = 0 -24 + 8x + (6 * -2 + x * -2) = 0 -24 + 8x + (-12 + -2x) = 0 Reorder the terms: -24 + -12 + 8x + -2x = 0 Combine like terms: -24 + -12 = -36 -36 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -36 + 6x = 0 Solving -36 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 0 + 36 6x = 0 + 36 Combine like terms: 0 + 36 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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