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Simplifying 5(c + -2) + (-9) = -7(1 + -1x) Reorder the terms: 5(-2 + c) + (-9) = -7(1 + -1x) (-2 * 5 + c * 5) + (-9) = -7(1 + -1x) (-10 + 5c) + (-9) = -7(1 + -1x) -10 + 5c + -9 = -7(1 + -1x) Reorder the terms: -10 + -9 + 5c = -7(1 + -1x) Combine like terms: -10 + -9 = -19 -19 + 5c = -7(1 + -1x) -19 + 5c = (1 * -7 + -1x * -7) -19 + 5c = (-7 + 7x) Solving -19 + 5c = -7 + 7x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 5c = -7 + 19 + 7x Combine like terms: -19 + 19 = 0 0 + 5c = -7 + 19 + 7x 5c = -7 + 19 + 7x Combine like terms: -7 + 19 = 12 5c = 12 + 7x Divide each side by '5'. c = 2.4 + 1.4x Simplifying c = 2.4 + 1.4x
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