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Simplifying 3x + 5 + -2x = 9 + -7x + 4 Reorder the terms: 5 + 3x + -2x = 9 + -7x + 4 Combine like terms: 3x + -2x = 1x 5 + 1x = 9 + -7x + 4 Reorder the terms: 5 + 1x = 9 + 4 + -7x Combine like terms: 9 + 4 = 13 5 + 1x = 13 + -7x Solving 5 + 1x = 13 + -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. 5 + 1x + 7x = 13 + -7x + 7x Combine like terms: 1x + 7x = 8x 5 + 8x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 8x = 13 + 0 5 + 8x = 13 Add '-5' to each side of the equation. 5 + -5 + 8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 13 + -5 8x = 13 + -5 Combine like terms: 13 + -5 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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