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Simplifying 2(5 + -4x) + 8 = 3(3x + -11) (5 * 2 + -4x * 2) + 8 = 3(3x + -11) (10 + -8x) + 8 = 3(3x + -11) Reorder the terms: 10 + 8 + -8x = 3(3x + -11) Combine like terms: 10 + 8 = 18 18 + -8x = 3(3x + -11) Reorder the terms: 18 + -8x = 3(-11 + 3x) 18 + -8x = (-11 * 3 + 3x * 3) 18 + -8x = (-33 + 9x) Solving 18 + -8x = -33 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + -8x + -9x = -33 + 9x + -9x Combine like terms: -8x + -9x = -17x 18 + -17x = -33 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -17x = -33 + 0 18 + -17x = -33 Add '-18' to each side of the equation. 18 + -18 + -17x = -33 + -18 Combine like terms: 18 + -18 = 0 0 + -17x = -33 + -18 -17x = -33 + -18 Combine like terms: -33 + -18 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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