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Simplifying 5(2x + -6) = -4(-5 + 2x) + 3x Reorder the terms: 5(-6 + 2x) = -4(-5 + 2x) + 3x (-6 * 5 + 2x * 5) = -4(-5 + 2x) + 3x (-30 + 10x) = -4(-5 + 2x) + 3x -30 + 10x = (-5 * -4 + 2x * -4) + 3x -30 + 10x = (20 + -8x) + 3x Combine like terms: -8x + 3x = -5x -30 + 10x = 20 + -5x Solving -30 + 10x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + 10x + 5x = 20 + -5x + 5x Combine like terms: 10x + 5x = 15x -30 + 15x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 15x = 20 + 0 -30 + 15x = 20 Add '30' to each side of the equation. -30 + 30 + 15x = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 15x = 20 + 30 15x = 20 + 30 Combine like terms: 20 + 30 = 50 15x = 50 Divide each side by '15'. x = 3.333333333 Simplifying x = 3.333333333
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