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Simplifying 3(x + -50) = 2(x + 5) Reorder the terms: 3(-50 + x) = 2(x + 5) (-50 * 3 + x * 3) = 2(x + 5) (-150 + 3x) = 2(x + 5) Reorder the terms: -150 + 3x = 2(5 + x) -150 + 3x = (5 * 2 + x * 2) -150 + 3x = (10 + 2x) Solving -150 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -150 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -150 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -150 + 1x = 10 + 0 -150 + 1x = 10 Add '150' to each side of the equation. -150 + 150 + 1x = 10 + 150 Combine like terms: -150 + 150 = 0 0 + 1x = 10 + 150 1x = 10 + 150 Combine like terms: 10 + 150 = 160 1x = 160 Divide each side by '1'. x = 160 Simplifying x = 160
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