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Simplifying 7(x + -1) = -2(-2x + -10) * 9 Reorder the terms: 7(-1 + x) = -2(-2x + -10) * 9 (-1 * 7 + x * 7) = -2(-2x + -10) * 9 (-7 + 7x) = -2(-2x + -10) * 9 Reorder the terms: -7 + 7x = -2(-10 + -2x) * 9 Reorder the terms for easier multiplication: -7 + 7x = -2 * 9(-10 + -2x) Multiply -2 * 9 -7 + 7x = -18(-10 + -2x) -7 + 7x = (-10 * -18 + -2x * -18) -7 + 7x = (180 + 36x) Solving -7 + 7x = 180 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -7 + 7x + -36x = 180 + 36x + -36x Combine like terms: 7x + -36x = -29x -7 + -29x = 180 + 36x + -36x Combine like terms: 36x + -36x = 0 -7 + -29x = 180 + 0 -7 + -29x = 180 Add '7' to each side of the equation. -7 + 7 + -29x = 180 + 7 Combine like terms: -7 + 7 = 0 0 + -29x = 180 + 7 -29x = 180 + 7 Combine like terms: 180 + 7 = 187 -29x = 187 Divide each side by '-29'. x = -6.448275862 Simplifying x = -6.448275862
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