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Simplifying -5x + 7 + -1(6x + 3) = 7x + -9 Reorder the terms: -5x + 7 + -1(3 + 6x) = 7x + -9 -5x + 7 + (3 * -1 + 6x * -1) = 7x + -9 -5x + 7 + (-3 + -6x) = 7x + -9 Reorder the terms: 7 + -3 + -5x + -6x = 7x + -9 Combine like terms: 7 + -3 = 4 4 + -5x + -6x = 7x + -9 Combine like terms: -5x + -6x = -11x 4 + -11x = 7x + -9 Reorder the terms: 4 + -11x = -9 + 7x Solving 4 + -11x = -9 + 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. 4 + -11x + -7x = -9 + 7x + -7x Combine like terms: -11x + -7x = -18x 4 + -18x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -18x = -9 + 0 4 + -18x = -9 Add '-4' to each side of the equation. 4 + -4 + -18x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -18x = -9 + -4 -18x = -9 + -4 Combine like terms: -9 + -4 = -13 -18x = -13 Divide each side by '-18'. x = 0.7222222222 Simplifying x = 0.7222222222
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