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Simplifying 5(x + 1) = 3(x + -7) Reorder the terms: 5(1 + x) = 3(x + -7) (1 * 5 + x * 5) = 3(x + -7) (5 + 5x) = 3(x + -7) Reorder the terms: 5 + 5x = 3(-7 + x) 5 + 5x = (-7 * 3 + x * 3) 5 + 5x = (-21 + 3x) Solving 5 + 5x = -21 + 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. 5 + 5x + -3x = -21 + 3x + -3x Combine like terms: 5x + -3x = 2x 5 + 2x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 2x = -21 + 0 5 + 2x = -21 Add '-5' to each side of the equation. 5 + -5 + 2x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -21 + -5 2x = -21 + -5 Combine like terms: -21 + -5 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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