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Simplifying -3(x + 5) = 6x + 48 Reorder the terms: -3(5 + x) = 6x + 48 (5 * -3 + x * -3) = 6x + 48 (-15 + -3x) = 6x + 48 Reorder the terms: -15 + -3x = 48 + 6x Solving -15 + -3x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -3x + -6x = 48 + 6x + -6x Combine like terms: -3x + -6x = -9x -15 + -9x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -9x = 48 + 0 -15 + -9x = 48 Add '15' to each side of the equation. -15 + 15 + -9x = 48 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 48 + 15 -9x = 48 + 15 Combine like terms: 48 + 15 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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