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Simplifying -1(-1x + -7) + -5(2x + -7) = 150 Reorder the terms: -1(-7 + -1x) + -5(2x + -7) = 150 (-7 * -1 + -1x * -1) + -5(2x + -7) = 150 (7 + 1x) + -5(2x + -7) = 150 Reorder the terms: 7 + 1x + -5(-7 + 2x) = 150 7 + 1x + (-7 * -5 + 2x * -5) = 150 7 + 1x + (35 + -10x) = 150 Reorder the terms: 7 + 35 + 1x + -10x = 150 Combine like terms: 7 + 35 = 42 42 + 1x + -10x = 150 Combine like terms: 1x + -10x = -9x 42 + -9x = 150 Solving 42 + -9x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -9x = 150 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 150 + -42 -9x = 150 + -42 Combine like terms: 150 + -42 = 108 -9x = 108 Divide each side by '-9'. x = -12 Simplifying x = -12
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