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Simplifying 5x + 8 = 5 + -2(3x + 7) Reorder the terms: 8 + 5x = 5 + -2(3x + 7) Reorder the terms: 8 + 5x = 5 + -2(7 + 3x) 8 + 5x = 5 + (7 * -2 + 3x * -2) 8 + 5x = 5 + (-14 + -6x) Combine like terms: 5 + -14 = -9 8 + 5x = -9 + -6x Solving 8 + 5x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 5x + 6x = -9 + -6x + 6x Combine like terms: 5x + 6x = 11x 8 + 11x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 11x = -9 + 0 8 + 11x = -9 Add '-8' to each side of the equation. 8 + -8 + 11x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = -9 + -8 11x = -9 + -8 Combine like terms: -9 + -8 = -17 11x = -17 Divide each side by '11'. x = -1.545454545 Simplifying x = -1.545454545
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