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Simplifying 3x + 4 = 5x + -5 + 2x + -1 Reorder the terms: 4 + 3x = 5x + -5 + 2x + -1 Reorder the terms: 4 + 3x = -5 + -1 + 5x + 2x Combine like terms: -5 + -1 = -6 4 + 3x = -6 + 5x + 2x Combine like terms: 5x + 2x = 7x 4 + 3x = -6 + 7x Solving 4 + 3x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 3x + -7x = -6 + 7x + -7x Combine like terms: 3x + -7x = -4x 4 + -4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -4x = -6 + 0 4 + -4x = -6 Add '-4' to each side of the equation. 4 + -4 + -4x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -6 + -4 -4x = -6 + -4 Combine like terms: -6 + -4 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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