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Simplifying 3x + 150 = 6(20 + x) Reorder the terms: 150 + 3x = 6(20 + x) 150 + 3x = (20 * 6 + x * 6) 150 + 3x = (120 + 6x) Solving 150 + 3x = 120 + 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 = 120 + 6x + -6x Combine like terms: 3x + -6x = -3x 150 + -3x = 120 + 6x + -6x Combine like terms: 6x + -6x = 0 150 + -3x = 120 + 0 150 + -3x = 120 Add '-150' to each side of the equation. 150 + -150 + -3x = 120 + -150 Combine like terms: 150 + -150 = 0 0 + -3x = 120 + -150 -3x = 120 + -150 Combine like terms: 120 + -150 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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