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Simplifying 4(3x + -5) = -2x + 10 + 4x Reorder the terms: 4(-5 + 3x) = -2x + 10 + 4x (-5 * 4 + 3x * 4) = -2x + 10 + 4x (-20 + 12x) = -2x + 10 + 4x Reorder the terms: -20 + 12x = 10 + -2x + 4x Combine like terms: -2x + 4x = 2x -20 + 12x = 10 + 2x Solving -20 + 12x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 12x + -2x = 10 + 2x + -2x Combine like terms: 12x + -2x = 10x -20 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 10x = 10 + 0 -20 + 10x = 10 Add '20' to each side of the equation. -20 + 20 + 10x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 10 + 20 10x = 10 + 20 Combine like terms: 10 + 20 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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