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Simplifying 5(x + -2) + (-9) = -7(1 + -1x) Reorder the terms: 5(-2 + x) + (-9) = -7(1 + -1x) (-2 * 5 + x * 5) + (-9) = -7(1 + -1x) (-10 + 5x) + (-9) = -7(1 + -1x) -10 + 5x + -9 = -7(1 + -1x) Reorder the terms: -10 + -9 + 5x = -7(1 + -1x) Combine like terms: -10 + -9 = -19 -19 + 5x = -7(1 + -1x) -19 + 5x = (1 * -7 + -1x * -7) -19 + 5x = (-7 + 7x) Solving -19 + 5x = -7 + 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. -19 + 5x + -7x = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x -19 + -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -19 + -2x = -7 + 0 -19 + -2x = -7 Add '19' to each side of the equation. -19 + 19 + -2x = -7 + 19 Combine like terms: -19 + 19 = 0 0 + -2x = -7 + 19 -2x = -7 + 19 Combine like terms: -7 + 19 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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