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Simplifying -5(x + 3) = -8x + 6 Reorder the terms: -5(3 + x) = -8x + 6 (3 * -5 + x * -5) = -8x + 6 (-15 + -5x) = -8x + 6 Reorder the terms: -15 + -5x = 6 + -8x Solving -15 + -5x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + -5x + 8x = 6 + -8x + 8x Combine like terms: -5x + 8x = 3x -15 + 3x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 3x = 6 + 0 -15 + 3x = 6 Add '15' to each side of the equation. -15 + 15 + 3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 6 + 15 3x = 6 + 15 Combine like terms: 6 + 15 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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