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Simplifying 7(x + -3) = 2x + -71 Reorder the terms: 7(-3 + x) = 2x + -71 (-3 * 7 + x * 7) = 2x + -71 (-21 + 7x) = 2x + -71 Reorder the terms: -21 + 7x = -71 + 2x Solving -21 + 7x = -71 + 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. -21 + 7x + -2x = -71 + 2x + -2x Combine like terms: 7x + -2x = 5x -21 + 5x = -71 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 5x = -71 + 0 -21 + 5x = -71 Add '21' to each side of the equation. -21 + 21 + 5x = -71 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = -71 + 21 5x = -71 + 21 Combine like terms: -71 + 21 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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