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Simplifying 3x + 2 + -4x = -7x + 5 + -2x Reorder the terms: 2 + 3x + -4x = -7x + 5 + -2x Combine like terms: 3x + -4x = -1x 2 + -1x = -7x + 5 + -2x Reorder the terms: 2 + -1x = 5 + -7x + -2x Combine like terms: -7x + -2x = -9x 2 + -1x = 5 + -9x Solving 2 + -1x = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + -1x + 9x = 5 + -9x + 9x Combine like terms: -1x + 9x = 8x 2 + 8x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 8x = 5 + 0 2 + 8x = 5 Add '-2' to each side of the equation. 2 + -2 + 8x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 5 + -2 8x = 5 + -2 Combine like terms: 5 + -2 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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