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Simplifying 3x + 9x + -2x + 5 = 6x + -4x + 7 Reorder the terms: 5 + 3x + 9x + -2x = 6x + -4x + 7 Combine like terms: 3x + 9x = 12x 5 + 12x + -2x = 6x + -4x + 7 Combine like terms: 12x + -2x = 10x 5 + 10x = 6x + -4x + 7 Reorder the terms: 5 + 10x = 7 + 6x + -4x Combine like terms: 6x + -4x = 2x 5 + 10x = 7 + 2x Solving 5 + 10x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 10x + -2x = 7 + 2x + -2x Combine like terms: 10x + -2x = 8x 5 + 8x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 8x = 7 + 0 5 + 8x = 7 Add '-5' to each side of the equation. 5 + -5 + 8x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 7 + -5 8x = 7 + -5 Combine like terms: 7 + -5 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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