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Simplifying 9x + -38 = 7(x + -8) Reorder the terms: -38 + 9x = 7(x + -8) Reorder the terms: -38 + 9x = 7(-8 + x) -38 + 9x = (-8 * 7 + x * 7) -38 + 9x = (-56 + 7x) Solving -38 + 9x = -56 + 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. -38 + 9x + -7x = -56 + 7x + -7x Combine like terms: 9x + -7x = 2x -38 + 2x = -56 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 + 2x = -56 + 0 -38 + 2x = -56 Add '38' to each side of the equation. -38 + 38 + 2x = -56 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -56 + 38 2x = -56 + 38 Combine like terms: -56 + 38 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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