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Simplifying 5(4x + 3) + 4(7x + -2) = 31 Reorder the terms: 5(3 + 4x) + 4(7x + -2) = 31 (3 * 5 + 4x * 5) + 4(7x + -2) = 31 (15 + 20x) + 4(7x + -2) = 31 Reorder the terms: 15 + 20x + 4(-2 + 7x) = 31 15 + 20x + (-2 * 4 + 7x * 4) = 31 15 + 20x + (-8 + 28x) = 31 Reorder the terms: 15 + -8 + 20x + 28x = 31 Combine like terms: 15 + -8 = 7 7 + 20x + 28x = 31 Combine like terms: 20x + 28x = 48x 7 + 48x = 31 Solving 7 + 48x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 48x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 48x = 31 + -7 48x = 31 + -7 Combine like terms: 31 + -7 = 24 48x = 24 Divide each side by '48'. x = 0.5 Simplifying x = 0.5
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