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Simplifying 7(x + 9) = 6x + -5 Reorder the terms: 7(9 + x) = 6x + -5 (9 * 7 + x * 7) = 6x + -5 (63 + 7x) = 6x + -5 Reorder the terms: 63 + 7x = -5 + 6x Solving 63 + 7x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 63 + 7x + -6x = -5 + 6x + -6x Combine like terms: 7x + -6x = 1x 63 + 1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + 1x = -5 + 0 63 + 1x = -5 Add '-63' to each side of the equation. 63 + -63 + 1x = -5 + -63 Combine like terms: 63 + -63 = 0 0 + 1x = -5 + -63 1x = -5 + -63 Combine like terms: -5 + -63 = -68 1x = -68 Divide each side by '1'. x = -68 Simplifying x = -68
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