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Simplifying 3x + 4x + 6 = 10x + 4 + -2x Reorder the terms: 6 + 3x + 4x = 10x + 4 + -2x Combine like terms: 3x + 4x = 7x 6 + 7x = 10x + 4 + -2x Reorder the terms: 6 + 7x = 4 + 10x + -2x Combine like terms: 10x + -2x = 8x 6 + 7x = 4 + 8x Solving 6 + 7x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 7x + -8x = 4 + 8x + -8x Combine like terms: 7x + -8x = -1x 6 + -1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -1x = 4 + 0 6 + -1x = 4 Add '-6' to each side of the equation. 6 + -6 + -1x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 4 + -6 -1x = 4 + -6 Combine like terms: 4 + -6 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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