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Simplifying -2(-5 + 3x) + 40 = 5(x + 7) + -7 (-5 * -2 + 3x * -2) + 40 = 5(x + 7) + -7 (10 + -6x) + 40 = 5(x + 7) + -7 Reorder the terms: 10 + 40 + -6x = 5(x + 7) + -7 Combine like terms: 10 + 40 = 50 50 + -6x = 5(x + 7) + -7 Reorder the terms: 50 + -6x = 5(7 + x) + -7 50 + -6x = (7 * 5 + x * 5) + -7 50 + -6x = (35 + 5x) + -7 Reorder the terms: 50 + -6x = 35 + -7 + 5x Combine like terms: 35 + -7 = 28 50 + -6x = 28 + 5x Solving 50 + -6x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 50 + -6x + -5x = 28 + 5x + -5x Combine like terms: -6x + -5x = -11x 50 + -11x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + -11x = 28 + 0 50 + -11x = 28 Add '-50' to each side of the equation. 50 + -50 + -11x = 28 + -50 Combine like terms: 50 + -50 = 0 0 + -11x = 28 + -50 -11x = 28 + -50 Combine like terms: 28 + -50 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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