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Simplifying 152 + -1(5x + 2) = 7x + -1 Reorder the terms: 152 + -1(2 + 5x) = 7x + -1 152 + (2 * -1 + 5x * -1) = 7x + -1 152 + (-2 + -5x) = 7x + -1 Combine like terms: 152 + -2 = 150 150 + -5x = 7x + -1 Reorder the terms: 150 + -5x = -1 + 7x Solving 150 + -5x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 150 + -5x + -7x = -1 + 7x + -7x Combine like terms: -5x + -7x = -12x 150 + -12x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 150 + -12x = -1 + 0 150 + -12x = -1 Add '-150' to each side of the equation. 150 + -150 + -12x = -1 + -150 Combine like terms: 150 + -150 = 0 0 + -12x = -1 + -150 -12x = -1 + -150 Combine like terms: -1 + -150 = -151 -12x = -151 Divide each side by '-12'. x = 12.58333333 Simplifying x = 12.58333333
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