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Simplifying -6(x + -2) = 3x + 48 Reorder the terms: -6(-2 + x) = 3x + 48 (-2 * -6 + x * -6) = 3x + 48 (12 + -6x) = 3x + 48 Reorder the terms: 12 + -6x = 48 + 3x Solving 12 + -6x = 48 + 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. 12 + -6x + -3x = 48 + 3x + -3x Combine like terms: -6x + -3x = -9x 12 + -9x = 48 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -9x = 48 + 0 12 + -9x = 48 Add '-12' to each side of the equation. 12 + -12 + -9x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 48 + -12 -9x = 48 + -12 Combine like terms: 48 + -12 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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