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Simplifying 3(x + -50) = 2(3x + 12) Reorder the terms: 3(-50 + x) = 2(3x + 12) (-50 * 3 + x * 3) = 2(3x + 12) (-150 + 3x) = 2(3x + 12) Reorder the terms: -150 + 3x = 2(12 + 3x) -150 + 3x = (12 * 2 + 3x * 2) -150 + 3x = (24 + 6x) Solving -150 + 3x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -150 + 3x + -6x = 24 + 6x + -6x Combine like terms: 3x + -6x = -3x -150 + -3x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -150 + -3x = 24 + 0 -150 + -3x = 24 Add '150' to each side of the equation. -150 + 150 + -3x = 24 + 150 Combine like terms: -150 + 150 = 0 0 + -3x = 24 + 150 -3x = 24 + 150 Combine like terms: 24 + 150 = 174 -3x = 174 Divide each side by '-3'. x = -58 Simplifying x = -58
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