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Simplifying 2x + 4 = -6x + 9 Reorder the terms: 4 + 2x = -6x + 9 Reorder the terms: 4 + 2x = 9 + -6x Solving 4 + 2x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 2x + 6x = 9 + -6x + 6x Combine like terms: 2x + 6x = 8x 4 + 8x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 8x = 9 + 0 4 + 8x = 9 Add '-4' to each side of the equation. 4 + -4 + 8x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 9 + -4 8x = 9 + -4 Combine like terms: 9 + -4 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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