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Simplifying 12(x + -1) + -4x = 3(2x + -2) + -9x Reorder the terms: 12(-1 + x) + -4x = 3(2x + -2) + -9x (-1 * 12 + x * 12) + -4x = 3(2x + -2) + -9x (-12 + 12x) + -4x = 3(2x + -2) + -9x Combine like terms: 12x + -4x = 8x -12 + 8x = 3(2x + -2) + -9x Reorder the terms: -12 + 8x = 3(-2 + 2x) + -9x -12 + 8x = (-2 * 3 + 2x * 3) + -9x -12 + 8x = (-6 + 6x) + -9x Combine like terms: 6x + -9x = -3x -12 + 8x = -6 + -3x Solving -12 + 8x = -6 + -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 + 8x + 3x = -6 + -3x + 3x Combine like terms: 8x + 3x = 11x -12 + 11x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 11x = -6 + 0 -12 + 11x = -6 Add '12' to each side of the equation. -12 + 12 + 11x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = -6 + 12 11x = -6 + 12 Combine like terms: -6 + 12 = 6 11x = 6 Divide each side by '11'. x = 0.5454545455 Simplifying x = 0.5454545455
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