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Simplifying 3x + 5 + -4x + 2 = 7x + 5x + -4 + -2 Reorder the terms: 5 + 2 + 3x + -4x = 7x + 5x + -4 + -2 Combine like terms: 5 + 2 = 7 7 + 3x + -4x = 7x + 5x + -4 + -2 Combine like terms: 3x + -4x = -1x 7 + -1x = 7x + 5x + -4 + -2 Reorder the terms: 7 + -1x = -4 + -2 + 7x + 5x Combine like terms: -4 + -2 = -6 7 + -1x = -6 + 7x + 5x Combine like terms: 7x + 5x = 12x 7 + -1x = -6 + 12x Solving 7 + -1x = -6 + 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 = -6 + 12x + -12x Combine like terms: -1x + -12x = -13x 7 + -13x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -13x = -6 + 0 7 + -13x = -6 Add '-7' to each side of the equation. 7 + -7 + -13x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = -6 + -7 -13x = -6 + -7 Combine like terms: -6 + -7 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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