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Simplifying 7(x + 9) = 48 + -8x Reorder the terms: 7(9 + x) = 48 + -8x (9 * 7 + x * 7) = 48 + -8x (63 + 7x) = 48 + -8x Solving 63 + 7x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 63 + 7x + 8x = 48 + -8x + 8x Combine like terms: 7x + 8x = 15x 63 + 15x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 63 + 15x = 48 + 0 63 + 15x = 48 Add '-63' to each side of the equation. 63 + -63 + 15x = 48 + -63 Combine like terms: 63 + -63 = 0 0 + 15x = 48 + -63 15x = 48 + -63 Combine like terms: 48 + -63 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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