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Simplifying 2(3x + -4) = 7(11 + -2x) Reorder the terms: 2(-4 + 3x) = 7(11 + -2x) (-4 * 2 + 3x * 2) = 7(11 + -2x) (-8 + 6x) = 7(11 + -2x) -8 + 6x = (11 * 7 + -2x * 7) -8 + 6x = (77 + -14x) Solving -8 + 6x = 77 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -8 + 6x + 14x = 77 + -14x + 14x Combine like terms: 6x + 14x = 20x -8 + 20x = 77 + -14x + 14x Combine like terms: -14x + 14x = 0 -8 + 20x = 77 + 0 -8 + 20x = 77 Add '8' to each side of the equation. -8 + 8 + 20x = 77 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = 77 + 8 20x = 77 + 8 Combine like terms: 77 + 8 = 85 20x = 85 Divide each side by '20'. x = 4.25 Simplifying x = 4.25
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