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Simplifying 6x + 7(3x + 4) = 9x + -10 Reorder the terms: 6x + 7(4 + 3x) = 9x + -10 6x + (4 * 7 + 3x * 7) = 9x + -10 6x + (28 + 21x) = 9x + -10 Reorder the terms: 28 + 6x + 21x = 9x + -10 Combine like terms: 6x + 21x = 27x 28 + 27x = 9x + -10 Reorder the terms: 28 + 27x = -10 + 9x Solving 28 + 27x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 27x + -9x = -10 + 9x + -9x Combine like terms: 27x + -9x = 18x 28 + 18x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + 18x = -10 + 0 28 + 18x = -10 Add '-28' to each side of the equation. 28 + -28 + 18x = -10 + -28 Combine like terms: 28 + -28 = 0 0 + 18x = -10 + -28 18x = -10 + -28 Combine like terms: -10 + -28 = -38 18x = -38 Divide each side by '18'. x = -2.111111111 Simplifying x = -2.111111111
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