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Simplifying 6(x + 7) = -5(2x + -9) + 7x Reorder the terms: 6(7 + x) = -5(2x + -9) + 7x (7 * 6 + x * 6) = -5(2x + -9) + 7x (42 + 6x) = -5(2x + -9) + 7x Reorder the terms: 42 + 6x = -5(-9 + 2x) + 7x 42 + 6x = (-9 * -5 + 2x * -5) + 7x 42 + 6x = (45 + -10x) + 7x Combine like terms: -10x + 7x = -3x 42 + 6x = 45 + -3x Solving 42 + 6x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + 6x + 3x = 45 + -3x + 3x Combine like terms: 6x + 3x = 9x 42 + 9x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 9x = 45 + 0 42 + 9x = 45 Add '-42' to each side of the equation. 42 + -42 + 9x = 45 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 45 + -42 9x = 45 + -42 Combine like terms: 45 + -42 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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