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Simplifying 4x + 3(2x + -5) = 12x + 20 Reorder the terms: 4x + 3(-5 + 2x) = 12x + 20 4x + (-5 * 3 + 2x * 3) = 12x + 20 4x + (-15 + 6x) = 12x + 20 Reorder the terms: -15 + 4x + 6x = 12x + 20 Combine like terms: 4x + 6x = 10x -15 + 10x = 12x + 20 Reorder the terms: -15 + 10x = 20 + 12x Solving -15 + 10x = 20 + 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. -15 + 10x + -12x = 20 + 12x + -12x Combine like terms: 10x + -12x = -2x -15 + -2x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -2x = 20 + 0 -15 + -2x = 20 Add '15' to each side of the equation. -15 + 15 + -2x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 20 + 15 -2x = 20 + 15 Combine like terms: 20 + 15 = 35 -2x = 35 Divide each side by '-2'. x = -17.5 Simplifying x = -17.5
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