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Simplifying 8x + -3(x + -5) = 3x + -1 Reorder the terms: 8x + -3(-5 + x) = 3x + -1 8x + (-5 * -3 + x * -3) = 3x + -1 8x + (15 + -3x) = 3x + -1 Reorder the terms: 15 + 8x + -3x = 3x + -1 Combine like terms: 8x + -3x = 5x 15 + 5x = 3x + -1 Reorder the terms: 15 + 5x = -1 + 3x Solving 15 + 5x = -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. 15 + 5x + -3x = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = -1 + 0 15 + 2x = -1 Add '-15' to each side of the equation. 15 + -15 + 2x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -1 + -15 2x = -1 + -15 Combine like terms: -1 + -15 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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