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Simplifying 2(x + 3) + 7 = -7(x + -5) + 8 Reorder the terms: 2(3 + x) + 7 = -7(x + -5) + 8 (3 * 2 + x * 2) + 7 = -7(x + -5) + 8 (6 + 2x) + 7 = -7(x + -5) + 8 Reorder the terms: 6 + 7 + 2x = -7(x + -5) + 8 Combine like terms: 6 + 7 = 13 13 + 2x = -7(x + -5) + 8 Reorder the terms: 13 + 2x = -7(-5 + x) + 8 13 + 2x = (-5 * -7 + x * -7) + 8 13 + 2x = (35 + -7x) + 8 Reorder the terms: 13 + 2x = 35 + 8 + -7x Combine like terms: 35 + 8 = 43 13 + 2x = 43 + -7x Solving 13 + 2x = 43 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 13 + 2x + 7x = 43 + -7x + 7x Combine like terms: 2x + 7x = 9x 13 + 9x = 43 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + 9x = 43 + 0 13 + 9x = 43 Add '-13' to each side of the equation. 13 + -13 + 9x = 43 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 43 + -13 9x = 43 + -13 Combine like terms: 43 + -13 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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