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Simplifying 3(x + 2) + -5(x + -7) + 8x = 23 Reorder the terms: 3(2 + x) + -5(x + -7) + 8x = 23 (2 * 3 + x * 3) + -5(x + -7) + 8x = 23 (6 + 3x) + -5(x + -7) + 8x = 23 Reorder the terms: 6 + 3x + -5(-7 + x) + 8x = 23 6 + 3x + (-7 * -5 + x * -5) + 8x = 23 6 + 3x + (35 + -5x) + 8x = 23 Reorder the terms: 6 + 35 + 3x + -5x + 8x = 23 Combine like terms: 6 + 35 = 41 41 + 3x + -5x + 8x = 23 Combine like terms: 3x + -5x = -2x 41 + -2x + 8x = 23 Combine like terms: -2x + 8x = 6x 41 + 6x = 23 Solving 41 + 6x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 6x = 23 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 23 + -41 6x = 23 + -41 Combine like terms: 23 + -41 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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