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Simplifying 5(3x + 5) + -4(x + 7) = 140 Reorder the terms: 5(5 + 3x) + -4(x + 7) = 140 (5 * 5 + 3x * 5) + -4(x + 7) = 140 (25 + 15x) + -4(x + 7) = 140 Reorder the terms: 25 + 15x + -4(7 + x) = 140 25 + 15x + (7 * -4 + x * -4) = 140 25 + 15x + (-28 + -4x) = 140 Reorder the terms: 25 + -28 + 15x + -4x = 140 Combine like terms: 25 + -28 = -3 -3 + 15x + -4x = 140 Combine like terms: 15x + -4x = 11x -3 + 11x = 140 Solving -3 + 11x = 140 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11x = 140 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 140 + 3 11x = 140 + 3 Combine like terms: 140 + 3 = 143 11x = 143 Divide each side by '11'. x = 13 Simplifying x = 13
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