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Simplifying 12x + -10 = 11(x + 4) + -6 Reorder the terms: -10 + 12x = 11(x + 4) + -6 Reorder the terms: -10 + 12x = 11(4 + x) + -6 -10 + 12x = (4 * 11 + x * 11) + -6 -10 + 12x = (44 + 11x) + -6 Reorder the terms: -10 + 12x = 44 + -6 + 11x Combine like terms: 44 + -6 = 38 -10 + 12x = 38 + 11x Solving -10 + 12x = 38 + 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. -10 + 12x + -11x = 38 + 11x + -11x Combine like terms: 12x + -11x = 1x -10 + 1x = 38 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + 1x = 38 + 0 -10 + 1x = 38 Add '10' to each side of the equation. -10 + 10 + 1x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 38 + 10 1x = 38 + 10 Combine like terms: 38 + 10 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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