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Simplifying 5x + 12 + -9x = -4(x + -3) + -1x Reorder the terms: 12 + 5x + -9x = -4(x + -3) + -1x Combine like terms: 5x + -9x = -4x 12 + -4x = -4(x + -3) + -1x Reorder the terms: 12 + -4x = -4(-3 + x) + -1x 12 + -4x = (-3 * -4 + x * -4) + -1x 12 + -4x = (12 + -4x) + -1x Combine like terms: -4x + -1x = -5x 12 + -4x = 12 + -5x Add '-12' to each side of the equation. 12 + -12 + -4x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 0 + -4x = 12 + -12 + -5x -4x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 -4x = 0 + -5x -4x = -5x Solving -4x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4x + 5x = -5x + 5x Combine like terms: -4x + 5x = 1x 1x = -5x + 5x Combine like terms: -5x + 5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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