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Simplifying 5(3x + -2) = 5(4x + 1) Reorder the terms: 5(-2 + 3x) = 5(4x + 1) (-2 * 5 + 3x * 5) = 5(4x + 1) (-10 + 15x) = 5(4x + 1) Reorder the terms: -10 + 15x = 5(1 + 4x) -10 + 15x = (1 * 5 + 4x * 5) -10 + 15x = (5 + 20x) Solving -10 + 15x = 5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -10 + 15x + -20x = 5 + 20x + -20x Combine like terms: 15x + -20x = -5x -10 + -5x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 -10 + -5x = 5 + 0 -10 + -5x = 5 Add '10' to each side of the equation. -10 + 10 + -5x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 5 + 10 -5x = 5 + 10 Combine like terms: 5 + 10 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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