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