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