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Simplifying -3(2 + 7x) = 34 + -1x (2 * -3 + 7x * -3) = 34 + -1x (-6 + -21x) = 34 + -1x Solving -6 + -21x = 34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + -21x + x = 34 + -1x + x Combine like terms: -21x + x = -20x -6 + -20x = 34 + -1x + x Combine like terms: -1x + x = 0 -6 + -20x = 34 + 0 -6 + -20x = 34 Add '6' to each side of the equation. -6 + 6 + -20x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -20x = 34 + 6 -20x = 34 + 6 Combine like terms: 34 + 6 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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