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Simplifying 7x + -6(x + -5) + -42 = 0 Reorder the terms: 7x + -6(-5 + x) + -42 = 0 7x + (-5 * -6 + x * -6) + -42 = 0 7x + (30 + -6x) + -42 = 0 Reorder the terms: 30 + -42 + 7x + -6x = 0 Combine like terms: 30 + -42 = -12 -12 + 7x + -6x = 0 Combine like terms: 7x + -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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