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Simplifying 7(x + 5) = -7(3x + -2) Reorder the terms: 7(5 + x) = -7(3x + -2) (5 * 7 + x * 7) = -7(3x + -2) (35 + 7x) = -7(3x + -2) Reorder the terms: 35 + 7x = -7(-2 + 3x) 35 + 7x = (-2 * -7 + 3x * -7) 35 + 7x = (14 + -21x) Solving 35 + 7x = 14 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 35 + 7x + 21x = 14 + -21x + 21x Combine like terms: 7x + 21x = 28x 35 + 28x = 14 + -21x + 21x Combine like terms: -21x + 21x = 0 35 + 28x = 14 + 0 35 + 28x = 14 Add '-35' to each side of the equation. 35 + -35 + 28x = 14 + -35 Combine like terms: 35 + -35 = 0 0 + 28x = 14 + -35 28x = 14 + -35 Combine like terms: 14 + -35 = -21 28x = -21 Divide each side by '28'. x = -0.75 Simplifying x = -0.75
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