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Simplifying (x + -1) + -5(x + -2) = x + 7 Reorder the terms: (-1 + x) + -5(x + -2) = x + 7 Remove parenthesis around (-1 + x) -1 + x + -5(x + -2) = x + 7 Reorder the terms: -1 + x + -5(-2 + x) = x + 7 -1 + x + (-2 * -5 + x * -5) = x + 7 -1 + x + (10 + -5x) = x + 7 Reorder the terms: -1 + 10 + x + -5x = x + 7 Combine like terms: -1 + 10 = 9 9 + x + -5x = x + 7 Combine like terms: x + -5x = -4x 9 + -4x = x + 7 Reorder the terms: 9 + -4x = 7 + x Solving 9 + -4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -4x + -1x = 7 + x + -1x Combine like terms: -4x + -1x = -5x 9 + -5x = 7 + x + -1x Combine like terms: x + -1x = 0 9 + -5x = 7 + 0 9 + -5x = 7 Add '-9' to each side of the equation. 9 + -9 + -5x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 7 + -9 -5x = 7 + -9 Combine like terms: 7 + -9 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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