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Simplifying 5(x + 3 + -7) + 8 + -6x = 0 Reorder the terms: 5(3 + -7 + x) + 8 + -6x = 0 Combine like terms: 3 + -7 = -4 5(-4 + x) + 8 + -6x = 0 (-4 * 5 + x * 5) + 8 + -6x = 0 (-20 + 5x) + 8 + -6x = 0 Reorder the terms: -20 + 8 + 5x + -6x = 0 Combine like terms: -20 + 8 = -12 -12 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -12 + -1x = 0 Solving -12 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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