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Simplifying 9x + -47 = 7(x + -9) Reorder the terms: -47 + 9x = 7(x + -9) Reorder the terms: -47 + 9x = 7(-9 + x) -47 + 9x = (-9 * 7 + x * 7) -47 + 9x = (-63 + 7x) Solving -47 + 9x = -63 + 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. -47 + 9x + -7x = -63 + 7x + -7x Combine like terms: 9x + -7x = 2x -47 + 2x = -63 + 7x + -7x Combine like terms: 7x + -7x = 0 -47 + 2x = -63 + 0 -47 + 2x = -63 Add '47' to each side of the equation. -47 + 47 + 2x = -63 + 47 Combine like terms: -47 + 47 = 0 0 + 2x = -63 + 47 2x = -63 + 47 Combine like terms: -63 + 47 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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