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Simplifying 3x + 5 + -4x + 2 = 7x + -4 + 5x + -1 Reorder the terms: 5 + 2 + 3x + -4x = 7x + -4 + 5x + -1 Combine like terms: 5 + 2 = 7 7 + 3x + -4x = 7x + -4 + 5x + -1 Combine like terms: 3x + -4x = -1x 7 + -1x = 7x + -4 + 5x + -1 Reorder the terms: 7 + -1x = -4 + -1 + 7x + 5x Combine like terms: -4 + -1 = -5 7 + -1x = -5 + 7x + 5x Combine like terms: 7x + 5x = 12x 7 + -1x = -5 + 12x Solving 7 + -1x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + -1x + -12x = -5 + 12x + -12x Combine like terms: -1x + -12x = -13x 7 + -13x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -13x = -5 + 0 7 + -13x = -5 Add '-7' to each side of the equation. 7 + -7 + -13x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = -5 + -7 -13x = -5 + -7 Combine like terms: -5 + -7 = -12 -13x = -12 Divide each side by '-13'. x = 0.9230769231 Simplifying x = 0.9230769231
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