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Simplifying 4 + -6x + 8 = 1 + -5x + 4 Reorder the terms: 4 + 8 + -6x = 1 + -5x + 4 Combine like terms: 4 + 8 = 12 12 + -6x = 1 + -5x + 4 Reorder the terms: 12 + -6x = 1 + 4 + -5x Combine like terms: 1 + 4 = 5 12 + -6x = 5 + -5x Solving 12 + -6x = 5 + -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. 12 + -6x + 5x = 5 + -5x + 5x Combine like terms: -6x + 5x = -1x 12 + -1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -1x = 5 + 0 12 + -1x = 5 Add '-12' to each side of the equation. 12 + -12 + -1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 5 + -12 -1x = 5 + -12 Combine like terms: 5 + -12 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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