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Simplifying 5x + -6(x + -7) = 20x Reorder the terms: 5x + -6(-7 + x) = 20x 5x + (-7 * -6 + x * -6) = 20x 5x + (42 + -6x) = 20x Reorder the terms: 42 + 5x + -6x = 20x Combine like terms: 5x + -6x = -1x 42 + -1x = 20x Solving 42 + -1x = 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. 42 + -1x + -20x = 20x + -20x Combine like terms: -1x + -20x = -21x 42 + -21x = 20x + -20x Combine like terms: 20x + -20x = 0 42 + -21x = 0 Add '-42' to each side of the equation. 42 + -42 + -21x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21x = 0 + -42 -21x = 0 + -42 Combine like terms: 0 + -42 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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