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Simplifying 2(5 + -3x) + -8 = 3(x + 7) (5 * 2 + -3x * 2) + -8 = 3(x + 7) (10 + -6x) + -8 = 3(x + 7) Reorder the terms: 10 + -8 + -6x = 3(x + 7) Combine like terms: 10 + -8 = 2 2 + -6x = 3(x + 7) Reorder the terms: 2 + -6x = 3(7 + x) 2 + -6x = (7 * 3 + x * 3) 2 + -6x = (21 + 3x) Solving 2 + -6x = 21 + 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. 2 + -6x + -3x = 21 + 3x + -3x Combine like terms: -6x + -3x = -9x 2 + -9x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -9x = 21 + 0 2 + -9x = 21 Add '-2' to each side of the equation. 2 + -2 + -9x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 21 + -2 -9x = 21 + -2 Combine like terms: 21 + -2 = 19 -9x = 19 Divide each side by '-9'. x = -2.111111111 Simplifying x = -2.111111111
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