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Simplifying 7x + -2(x + -1) = 6(1 + -1x) + 18 Reorder the terms: 7x + -2(-1 + x) = 6(1 + -1x) + 18 7x + (-1 * -2 + x * -2) = 6(1 + -1x) + 18 7x + (2 + -2x) = 6(1 + -1x) + 18 Reorder the terms: 2 + 7x + -2x = 6(1 + -1x) + 18 Combine like terms: 7x + -2x = 5x 2 + 5x = 6(1 + -1x) + 18 2 + 5x = (1 * 6 + -1x * 6) + 18 2 + 5x = (6 + -6x) + 18 Reorder the terms: 2 + 5x = 6 + 18 + -6x Combine like terms: 6 + 18 = 24 2 + 5x = 24 + -6x Solving 2 + 5x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + 5x + 6x = 24 + -6x + 6x Combine like terms: 5x + 6x = 11x 2 + 11x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 11x = 24 + 0 2 + 11x = 24 Add '-2' to each side of the equation. 2 + -2 + 11x = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 24 + -2 11x = 24 + -2 Combine like terms: 24 + -2 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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