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Simplifying 150 + -1x = 5(90 + -1x) 150 + -1x = (90 * 5 + -1x * 5) 150 + -1x = (450 + -5x) Solving 150 + -1x = 450 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 150 + -1x + 5x = 450 + -5x + 5x Combine like terms: -1x + 5x = 4x 150 + 4x = 450 + -5x + 5x Combine like terms: -5x + 5x = 0 150 + 4x = 450 + 0 150 + 4x = 450 Add '-150' to each side of the equation. 150 + -150 + 4x = 450 + -150 Combine like terms: 150 + -150 = 0 0 + 4x = 450 + -150 4x = 450 + -150 Combine like terms: 450 + -150 = 300 4x = 300 Divide each side by '4'. x = 75 Simplifying x = 75
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