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Simplifying 2(5 + -4x) + x = 3(3x + -11) (5 * 2 + -4x * 2) + x = 3(3x + -11) (10 + -8x) + x = 3(3x + -11) Combine like terms: -8x + x = -7x 10 + -7x = 3(3x + -11) Reorder the terms: 10 + -7x = 3(-11 + 3x) 10 + -7x = (-11 * 3 + 3x * 3) 10 + -7x = (-33 + 9x) Solving 10 + -7x = -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. 10 + -7x + -9x = -33 + 9x + -9x Combine like terms: -7x + -9x = -16x 10 + -16x = -33 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -16x = -33 + 0 10 + -16x = -33 Add '-10' to each side of the equation. 10 + -10 + -16x = -33 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = -33 + -10 -16x = -33 + -10 Combine like terms: -33 + -10 = -43 -16x = -43 Divide each side by '-16'. x = 2.6875 Simplifying x = 2.6875
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