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Simplifying 7 + -1x + 5 + -4x = -2x + -12 Reorder the terms: 7 + 5 + -1x + -4x = -2x + -12 Combine like terms: 7 + 5 = 12 12 + -1x + -4x = -2x + -12 Combine like terms: -1x + -4x = -5x 12 + -5x = -2x + -12 Reorder the terms: 12 + -5x = -12 + -2x Solving 12 + -5x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -5x + 2x = -12 + -2x + 2x Combine like terms: -5x + 2x = -3x 12 + -3x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -3x = -12 + 0 12 + -3x = -12 Add '-12' to each side of the equation. 12 + -12 + -3x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -12 + -12 -3x = -12 + -12 Combine like terms: -12 + -12 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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