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Simplifying 2(2x + -5) = 3(3x + 1) Reorder the terms: 2(-5 + 2x) = 3(3x + 1) (-5 * 2 + 2x * 2) = 3(3x + 1) (-10 + 4x) = 3(3x + 1) Reorder the terms: -10 + 4x = 3(1 + 3x) -10 + 4x = (1 * 3 + 3x * 3) -10 + 4x = (3 + 9x) Solving -10 + 4x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 4x + -9x = 3 + 9x + -9x Combine like terms: 4x + -9x = -5x -10 + -5x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -5x = 3 + 0 -10 + -5x = 3 Add '10' to each side of the equation. -10 + 10 + -5x = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 3 + 10 -5x = 3 + 10 Combine like terms: 3 + 10 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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