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Simplifying 12x + -6 = 11(x + 1) + -7 Reorder the terms: -6 + 12x = 11(x + 1) + -7 Reorder the terms: -6 + 12x = 11(1 + x) + -7 -6 + 12x = (1 * 11 + x * 11) + -7 -6 + 12x = (11 + 11x) + -7 Reorder the terms: -6 + 12x = 11 + -7 + 11x Combine like terms: 11 + -7 = 4 -6 + 12x = 4 + 11x Solving -6 + 12x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + 12x + -11x = 4 + 11x + -11x Combine like terms: 12x + -11x = 1x -6 + 1x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + 1x = 4 + 0 -6 + 1x = 4 Add '6' to each side of the equation. -6 + 6 + 1x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 4 + 6 1x = 4 + 6 Combine like terms: 4 + 6 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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