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Simplifying 4x + -8x + -12 = 4x + 7 + -12 Reorder the terms: -12 + 4x + -8x = 4x + 7 + -12 Combine like terms: 4x + -8x = -4x -12 + -4x = 4x + 7 + -12 Reorder the terms: -12 + -4x = 7 + -12 + 4x Combine like terms: 7 + -12 = -5 -12 + -4x = -5 + 4x Solving -12 + -4x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -4x + -4x = -5 + 4x + -4x Combine like terms: -4x + -4x = -8x -12 + -8x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -8x = -5 + 0 -12 + -8x = -5 Add '12' to each side of the equation. -12 + 12 + -8x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -5 + 12 -8x = -5 + 12 Combine like terms: -5 + 12 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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