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Simplifying 7(x + 5) = -3(6x + -7) + 7x Reorder the terms: 7(5 + x) = -3(6x + -7) + 7x (5 * 7 + x * 7) = -3(6x + -7) + 7x (35 + 7x) = -3(6x + -7) + 7x Reorder the terms: 35 + 7x = -3(-7 + 6x) + 7x 35 + 7x = (-7 * -3 + 6x * -3) + 7x 35 + 7x = (21 + -18x) + 7x Combine like terms: -18x + 7x = -11x 35 + 7x = 21 + -11x Solving 35 + 7x = 21 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 35 + 7x + 11x = 21 + -11x + 11x Combine like terms: 7x + 11x = 18x 35 + 18x = 21 + -11x + 11x Combine like terms: -11x + 11x = 0 35 + 18x = 21 + 0 35 + 18x = 21 Add '-35' to each side of the equation. 35 + -35 + 18x = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 18x = 21 + -35 18x = 21 + -35 Combine like terms: 21 + -35 = -14 18x = -14 Divide each side by '18'. x = -0.7777777778 Simplifying x = -0.7777777778
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