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Simplifying 6(3x + -4) + 4 = 7x + 11 Reorder the terms: 6(-4 + 3x) + 4 = 7x + 11 (-4 * 6 + 3x * 6) + 4 = 7x + 11 (-24 + 18x) + 4 = 7x + 11 Reorder the terms: -24 + 4 + 18x = 7x + 11 Combine like terms: -24 + 4 = -20 -20 + 18x = 7x + 11 Reorder the terms: -20 + 18x = 11 + 7x Solving -20 + 18x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 18x + -7x = 11 + 7x + -7x Combine like terms: 18x + -7x = 11x -20 + 11x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 11x = 11 + 0 -20 + 11x = 11 Add '20' to each side of the equation. -20 + 20 + 11x = 11 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 11 + 20 11x = 11 + 20 Combine like terms: 11 + 20 = 31 11x = 31 Divide each side by '11'. x = 2.818181818 Simplifying x = 2.818181818
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