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Simplifying 3(x + 8) + -1(6 + 9x) = -7x Reorder the terms: 3(8 + x) + -1(6 + 9x) = -7x (8 * 3 + x * 3) + -1(6 + 9x) = -7x (24 + 3x) + -1(6 + 9x) = -7x 24 + 3x + (6 * -1 + 9x * -1) = -7x 24 + 3x + (-6 + -9x) = -7x Reorder the terms: 24 + -6 + 3x + -9x = -7x Combine like terms: 24 + -6 = 18 18 + 3x + -9x = -7x Combine like terms: 3x + -9x = -6x 18 + -6x = -7x Solving 18 + -6x = -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. 18 + -6x + 7x = -7x + 7x Combine like terms: -6x + 7x = 1x 18 + 1x = -7x + 7x Combine like terms: -7x + 7x = 0 18 + 1x = 0 Add '-18' to each side of the equation. 18 + -18 + 1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 0 + -18 1x = 0 + -18 Combine like terms: 0 + -18 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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