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Simplifying 2(9 + -1x) = 5(x + -7) + -3 (9 * 2 + -1x * 2) = 5(x + -7) + -3 (18 + -2x) = 5(x + -7) + -3 Reorder the terms: 18 + -2x = 5(-7 + x) + -3 18 + -2x = (-7 * 5 + x * 5) + -3 18 + -2x = (-35 + 5x) + -3 Reorder the terms: 18 + -2x = -35 + -3 + 5x Combine like terms: -35 + -3 = -38 18 + -2x = -38 + 5x Solving 18 + -2x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -2x + -5x = -38 + 5x + -5x Combine like terms: -2x + -5x = -7x 18 + -7x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -7x = -38 + 0 18 + -7x = -38 Add '-18' to each side of the equation. 18 + -18 + -7x = -38 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -38 + -18 -7x = -38 + -18 Combine like terms: -38 + -18 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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