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Simplifying 2(5x + -11) = 3(4x + 5) Reorder the terms: 2(-11 + 5x) = 3(4x + 5) (-11 * 2 + 5x * 2) = 3(4x + 5) (-22 + 10x) = 3(4x + 5) Reorder the terms: -22 + 10x = 3(5 + 4x) -22 + 10x = (5 * 3 + 4x * 3) -22 + 10x = (15 + 12x) Solving -22 + 10x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -22 + 10x + -12x = 15 + 12x + -12x Combine like terms: 10x + -12x = -2x -22 + -2x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -22 + -2x = 15 + 0 -22 + -2x = 15 Add '22' to each side of the equation. -22 + 22 + -2x = 15 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = 15 + 22 -2x = 15 + 22 Combine like terms: 15 + 22 = 37 -2x = 37 Divide each side by '-2'. x = -18.5 Simplifying x = -18.5
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