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Simplifying -3(x + 6) = 5x + 7 Reorder the terms: -3(6 + x) = 5x + 7 (6 * -3 + x * -3) = 5x + 7 (-18 + -3x) = 5x + 7 Reorder the terms: -18 + -3x = 7 + 5x Solving -18 + -3x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -3x + -5x = 7 + 5x + -5x Combine like terms: -3x + -5x = -8x -18 + -8x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -8x = 7 + 0 -18 + -8x = 7 Add '18' to each side of the equation. -18 + 18 + -8x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = 7 + 18 -8x = 7 + 18 Combine like terms: 7 + 18 = 25 -8x = 25 Divide each side by '-8'. x = -3.125 Simplifying x = -3.125
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