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Simplifying -6(3x + 2) = 48 + -3x Reorder the terms: -6(2 + 3x) = 48 + -3x (2 * -6 + 3x * -6) = 48 + -3x (-12 + -18x) = 48 + -3x Solving -12 + -18x = 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 + -18x + 3x = 48 + -3x + 3x Combine like terms: -18x + 3x = -15x -12 + -15x = 48 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -15x = 48 + 0 -12 + -15x = 48 Add '12' to each side of the equation. -12 + 12 + -15x = 48 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = 48 + 12 -15x = 48 + 12 Combine like terms: 48 + 12 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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