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Simplifying 3(2x + 11) = 6x + 7.4 + -4x Reorder the terms: 3(11 + 2x) = 6x + 7.4 + -4x (11 * 3 + 2x * 3) = 6x + 7.4 + -4x (33 + 6x) = 6x + 7.4 + -4x Reorder the terms: 33 + 6x = 7.4 + 6x + -4x Combine like terms: 6x + -4x = 2x 33 + 6x = 7.4 + 2x Solving 33 + 6x = 7.4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 33 + 6x + -2x = 7.4 + 2x + -2x Combine like terms: 6x + -2x = 4x 33 + 4x = 7.4 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + 4x = 7.4 + 0 33 + 4x = 7.4 Add '-33' to each side of the equation. 33 + -33 + 4x = 7.4 + -33 Combine like terms: 33 + -33 = 0 0 + 4x = 7.4 + -33 4x = 7.4 + -33 Combine like terms: 7.4 + -33 = -25.6 4x = -25.6 Divide each side by '4'. x = -6.4 Simplifying x = -6.4
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