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Simplifying 11(x + 6) = 4(3x + -2) Reorder the terms: 11(6 + x) = 4(3x + -2) (6 * 11 + x * 11) = 4(3x + -2) (66 + 11x) = 4(3x + -2) Reorder the terms: 66 + 11x = 4(-2 + 3x) 66 + 11x = (-2 * 4 + 3x * 4) 66 + 11x = (-8 + 12x) Solving 66 + 11x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 66 + 11x + -12x = -8 + 12x + -12x Combine like terms: 11x + -12x = -1x 66 + -1x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 66 + -1x = -8 + 0 66 + -1x = -8 Add '-66' to each side of the equation. 66 + -66 + -1x = -8 + -66 Combine like terms: 66 + -66 = 0 0 + -1x = -8 + -66 -1x = -8 + -66 Combine like terms: -8 + -66 = -74 -1x = -74 Divide each side by '-1'. x = 74 Simplifying x = 74
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