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Simplifying -3(x + 8) = 4x + 6x + -12 Reorder the terms: -3(8 + x) = 4x + 6x + -12 (8 * -3 + x * -3) = 4x + 6x + -12 (-24 + -3x) = 4x + 6x + -12 Reorder the terms: -24 + -3x = -12 + 4x + 6x Combine like terms: 4x + 6x = 10x -24 + -3x = -12 + 10x Solving -24 + -3x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + -3x + -10x = -12 + 10x + -10x Combine like terms: -3x + -10x = -13x -24 + -13x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -13x = -12 + 0 -24 + -13x = -12 Add '24' to each side of the equation. -24 + 24 + -13x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = -12 + 24 -13x = -12 + 24 Combine like terms: -12 + 24 = 12 -13x = 12 Divide each side by '-13'. x = -0.9230769231 Simplifying x = -0.9230769231
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