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