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Simplifying 8(x + -2) + 50 = 3x + -1 Reorder the terms: 8(-2 + x) + 50 = 3x + -1 (-2 * 8 + x * 8) + 50 = 3x + -1 (-16 + 8x) + 50 = 3x + -1 Reorder the terms: -16 + 50 + 8x = 3x + -1 Combine like terms: -16 + 50 = 34 34 + 8x = 3x + -1 Reorder the terms: 34 + 8x = -1 + 3x Solving 34 + 8x = -1 + 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. 34 + 8x + -3x = -1 + 3x + -3x Combine like terms: 8x + -3x = 5x 34 + 5x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + 5x = -1 + 0 34 + 5x = -1 Add '-34' to each side of the equation. 34 + -34 + 5x = -1 + -34 Combine like terms: 34 + -34 = 0 0 + 5x = -1 + -34 5x = -1 + -34 Combine like terms: -1 + -34 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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