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Simplifying -6(x + 8) = 9x + 12 Reorder the terms: -6(8 + x) = 9x + 12 (8 * -6 + x * -6) = 9x + 12 (-48 + -6x) = 9x + 12 Reorder the terms: -48 + -6x = 12 + 9x Solving -48 + -6x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -48 + -6x + -9x = 12 + 9x + -9x Combine like terms: -6x + -9x = -15x -48 + -15x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -48 + -15x = 12 + 0 -48 + -15x = 12 Add '48' to each side of the equation. -48 + 48 + -15x = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -15x = 12 + 48 -15x = 12 + 48 Combine like terms: 12 + 48 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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