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Simplifying 6(x + 7) = 7x + -9 Reorder the terms: 6(7 + x) = 7x + -9 (7 * 6 + x * 6) = 7x + -9 (42 + 6x) = 7x + -9 Reorder the terms: 42 + 6x = -9 + 7x Solving 42 + 6x = -9 + 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. 42 + 6x + -7x = -9 + 7x + -7x Combine like terms: 6x + -7x = -1x 42 + -1x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -1x = -9 + 0 42 + -1x = -9 Add '-42' to each side of the equation. 42 + -42 + -1x = -9 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = -9 + -42 -1x = -9 + -42 Combine like terms: -9 + -42 = -51 -1x = -51 Divide each side by '-1'. x = 51 Simplifying x = 51
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