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Simplifying 8(2 + -3x) + 11 = 7(3x + -2) + 10 (2 * 8 + -3x * 8) + 11 = 7(3x + -2) + 10 (16 + -24x) + 11 = 7(3x + -2) + 10 Reorder the terms: 16 + 11 + -24x = 7(3x + -2) + 10 Combine like terms: 16 + 11 = 27 27 + -24x = 7(3x + -2) + 10 Reorder the terms: 27 + -24x = 7(-2 + 3x) + 10 27 + -24x = (-2 * 7 + 3x * 7) + 10 27 + -24x = (-14 + 21x) + 10 Reorder the terms: 27 + -24x = -14 + 10 + 21x Combine like terms: -14 + 10 = -4 27 + -24x = -4 + 21x Solving 27 + -24x = -4 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 27 + -24x + -21x = -4 + 21x + -21x Combine like terms: -24x + -21x = -45x 27 + -45x = -4 + 21x + -21x Combine like terms: 21x + -21x = 0 27 + -45x = -4 + 0 27 + -45x = -4 Add '-27' to each side of the equation. 27 + -27 + -45x = -4 + -27 Combine like terms: 27 + -27 = 0 0 + -45x = -4 + -27 -45x = -4 + -27 Combine like terms: -4 + -27 = -31 -45x = -31 Divide each side by '-45'. x = 0.6888888889 Simplifying x = 0.6888888889
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