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Simplifying -12x + -4 + 9x = 4(-3x + 8) Reorder the terms: -4 + -12x + 9x = 4(-3x + 8) Combine like terms: -12x + 9x = -3x -4 + -3x = 4(-3x + 8) Reorder the terms: -4 + -3x = 4(8 + -3x) -4 + -3x = (8 * 4 + -3x * 4) -4 + -3x = (32 + -12x) Solving -4 + -3x = 32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4 + -3x + 12x = 32 + -12x + 12x Combine like terms: -3x + 12x = 9x -4 + 9x = 32 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 9x = 32 + 0 -4 + 9x = 32 Add '4' to each side of the equation. -4 + 4 + 9x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 32 + 4 9x = 32 + 4 Combine like terms: 32 + 4 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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