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Simplifying 6(75) + 2x = 5(50) + 3x Multiply 6 * 75 450 + 2x = 5(50) + 3x Multiply 5 * 50 450 + 2x = 250 + 3x Solving 450 + 2x = 250 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 450 + 2x + -3x = 250 + 3x + -3x Combine like terms: 2x + -3x = -1x 450 + -1x = 250 + 3x + -3x Combine like terms: 3x + -3x = 0 450 + -1x = 250 + 0 450 + -1x = 250 Add '-450' to each side of the equation. 450 + -450 + -1x = 250 + -450 Combine like terms: 450 + -450 = 0 0 + -1x = 250 + -450 -1x = 250 + -450 Combine like terms: 250 + -450 = -200 -1x = -200 Divide each side by '-1'. x = 200 Simplifying x = 200
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