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Simplifying 7x + -2 + -6(x + -4) = 23 Reorder the terms: 7x + -2 + -6(-4 + x) = 23 7x + -2 + (-4 * -6 + x * -6) = 23 7x + -2 + (24 + -6x) = 23 Reorder the terms: -2 + 24 + 7x + -6x = 23 Combine like terms: -2 + 24 = 22 22 + 7x + -6x = 23 Combine like terms: 7x + -6x = 1x 22 + 1x = 23 Solving 22 + 1x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 1x = 23 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 23 + -22 1x = 23 + -22 Combine like terms: 23 + -22 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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