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Simplifying 2(x + 75) = 3x Reorder the terms: 2(75 + x) = 3x (75 * 2 + x * 2) = 3x (150 + 2x) = 3x Solving 150 + 2x = 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. 150 + 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x 150 + -1x = 3x + -3x Combine like terms: 3x + -3x = 0 150 + -1x = 0 Add '-150' to each side of the equation. 150 + -150 + -1x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -1x = 0 + -150 -1x = 0 + -150 Combine like terms: 0 + -150 = -150 -1x = -150 Divide each side by '-1'. x = 150 Simplifying x = 150
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