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Simplifying 5(2x + 3) + 2(7x + -4) = 200 Reorder the terms: 5(3 + 2x) + 2(7x + -4) = 200 (3 * 5 + 2x * 5) + 2(7x + -4) = 200 (15 + 10x) + 2(7x + -4) = 200 Reorder the terms: 15 + 10x + 2(-4 + 7x) = 200 15 + 10x + (-4 * 2 + 7x * 2) = 200 15 + 10x + (-8 + 14x) = 200 Reorder the terms: 15 + -8 + 10x + 14x = 200 Combine like terms: 15 + -8 = 7 7 + 10x + 14x = 200 Combine like terms: 10x + 14x = 24x 7 + 24x = 200 Solving 7 + 24x = 200 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 + 24x = 200 + -7 Combine like terms: 7 + -7 = 0 0 + 24x = 200 + -7 24x = 200 + -7 Combine like terms: 200 + -7 = 193 24x = 193 Divide each side by '24'. x = 8.041666667 Simplifying x = 8.041666667
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