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Simplifying 20x + -4(3x + -6) = 3x + 59 Reorder the terms: 20x + -4(-6 + 3x) = 3x + 59 20x + (-6 * -4 + 3x * -4) = 3x + 59 20x + (24 + -12x) = 3x + 59 Reorder the terms: 24 + 20x + -12x = 3x + 59 Combine like terms: 20x + -12x = 8x 24 + 8x = 3x + 59 Reorder the terms: 24 + 8x = 59 + 3x Solving 24 + 8x = 59 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 8x + -3x = 59 + 3x + -3x Combine like terms: 8x + -3x = 5x 24 + 5x = 59 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 5x = 59 + 0 24 + 5x = 59 Add '-24' to each side of the equation. 24 + -24 + 5x = 59 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 59 + -24 5x = 59 + -24 Combine like terms: 59 + -24 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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