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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 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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