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Simplifying 3(x + 2) + 7 + -5x = 6 + -1(5 + 3) Reorder the terms: 3(2 + x) + 7 + -5x = 6 + -1(5 + 3) (2 * 3 + x * 3) + 7 + -5x = 6 + -1(5 + 3) (6 + 3x) + 7 + -5x = 6 + -1(5 + 3) Reorder the terms: 6 + 7 + 3x + -5x = 6 + -1(5 + 3) Combine like terms: 6 + 7 = 13 13 + 3x + -5x = 6 + -1(5 + 3) Combine like terms: 3x + -5x = -2x 13 + -2x = 6 + -1(5 + 3) Combine like terms: 5 + 3 = 8 13 + -2x = 6 + -1(8) Multiply -1 * 8 13 + -2x = 6 + -8 Combine like terms: 6 + -8 = -2 13 + -2x = -2 Solving 13 + -2x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -2 + -13 -2x = -2 + -13 Combine like terms: -2 + -13 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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