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Simplifying 3x + -5x + 2 + -7x + 4 = 3x + -5 + 4 + 2x Reorder the terms: 2 + 4 + 3x + -5x + -7x = 3x + -5 + 4 + 2x Combine like terms: 2 + 4 = 6 6 + 3x + -5x + -7x = 3x + -5 + 4 + 2x Combine like terms: 3x + -5x = -2x 6 + -2x + -7x = 3x + -5 + 4 + 2x Combine like terms: -2x + -7x = -9x 6 + -9x = 3x + -5 + 4 + 2x Reorder the terms: 6 + -9x = -5 + 4 + 3x + 2x Combine like terms: -5 + 4 = -1 6 + -9x = -1 + 3x + 2x Combine like terms: 3x + 2x = 5x 6 + -9x = -1 + 5x Solving 6 + -9x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -9x + -5x = -1 + 5x + -5x Combine like terms: -9x + -5x = -14x 6 + -14x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -14x = -1 + 0 6 + -14x = -1 Add '-6' to each side of the equation. 6 + -6 + -14x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = -1 + -6 -14x = -1 + -6 Combine like terms: -1 + -6 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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