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Simplifying 3(x + 4) + -5(x + -7) = -2(2x + 7) Reorder the terms: 3(4 + x) + -5(x + -7) = -2(2x + 7) (4 * 3 + x * 3) + -5(x + -7) = -2(2x + 7) (12 + 3x) + -5(x + -7) = -2(2x + 7) Reorder the terms: 12 + 3x + -5(-7 + x) = -2(2x + 7) 12 + 3x + (-7 * -5 + x * -5) = -2(2x + 7) 12 + 3x + (35 + -5x) = -2(2x + 7) Reorder the terms: 12 + 35 + 3x + -5x = -2(2x + 7) Combine like terms: 12 + 35 = 47 47 + 3x + -5x = -2(2x + 7) Combine like terms: 3x + -5x = -2x 47 + -2x = -2(2x + 7) Reorder the terms: 47 + -2x = -2(7 + 2x) 47 + -2x = (7 * -2 + 2x * -2) 47 + -2x = (-14 + -4x) Solving 47 + -2x = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 47 + -2x + 4x = -14 + -4x + 4x Combine like terms: -2x + 4x = 2x 47 + 2x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 47 + 2x = -14 + 0 47 + 2x = -14 Add '-47' to each side of the equation. 47 + -47 + 2x = -14 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = -14 + -47 2x = -14 + -47 Combine like terms: -14 + -47 = -61 2x = -61 Divide each side by '2'. x = -30.5 Simplifying x = -30.5
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