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Simplifying 5 + -2x + 7 + 5x = 4 + 4x + 6 Reorder the terms: 5 + 7 + -2x + 5x = 4 + 4x + 6 Combine like terms: 5 + 7 = 12 12 + -2x + 5x = 4 + 4x + 6 Combine like terms: -2x + 5x = 3x 12 + 3x = 4 + 4x + 6 Reorder the terms: 12 + 3x = 4 + 6 + 4x Combine like terms: 4 + 6 = 10 12 + 3x = 10 + 4x Solving 12 + 3x = 10 + 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 + 3x + -4x = 10 + 4x + -4x Combine like terms: 3x + -4x = -1x 12 + -1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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