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