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Simplifying -3x + 4x + -6 = -12x + 4x + -10 Reorder the terms: -6 + -3x + 4x = -12x + 4x + -10 Combine like terms: -3x + 4x = 1x -6 + 1x = -12x + 4x + -10 Reorder the terms: -6 + 1x = -10 + -12x + 4x Combine like terms: -12x + 4x = -8x -6 + 1x = -10 + -8x Solving -6 + 1x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 1x + 8x = -10 + -8x + 8x Combine like terms: 1x + 8x = 9x -6 + 9x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 9x = -10 + 0 -6 + 9x = -10 Add '6' to each side of the equation. -6 + 6 + 9x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -10 + 6 9x = -10 + 6 Combine like terms: -10 + 6 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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