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Simplifying 5(x + 7) = -3(6x + -7) + 5x Reorder the terms: 5(7 + x) = -3(6x + -7) + 5x (7 * 5 + x * 5) = -3(6x + -7) + 5x (35 + 5x) = -3(6x + -7) + 5x Reorder the terms: 35 + 5x = -3(-7 + 6x) + 5x 35 + 5x = (-7 * -3 + 6x * -3) + 5x 35 + 5x = (21 + -18x) + 5x Combine like terms: -18x + 5x = -13x 35 + 5x = 21 + -13x Solving 35 + 5x = 21 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 35 + 5x + 13x = 21 + -13x + 13x Combine like terms: 5x + 13x = 18x 35 + 18x = 21 + -13x + 13x Combine like terms: -13x + 13x = 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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