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Simplifying 3(4x + -11) = 5(1 + 2x) Reorder the terms: 3(-11 + 4x) = 5(1 + 2x) (-11 * 3 + 4x * 3) = 5(1 + 2x) (-33 + 12x) = 5(1 + 2x) -33 + 12x = (1 * 5 + 2x * 5) -33 + 12x = (5 + 10x) Solving -33 + 12x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -33 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x -33 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -33 + 2x = 5 + 0 -33 + 2x = 5 Add '33' to each side of the equation. -33 + 33 + 2x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = 5 + 33 2x = 5 + 33 Combine like terms: 5 + 33 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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