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Simplifying 10x + 4 + -2x = 3x + 7 + 6x Reorder the terms: 4 + 10x + -2x = 3x + 7 + 6x Combine like terms: 10x + -2x = 8x 4 + 8x = 3x + 7 + 6x Reorder the terms: 4 + 8x = 7 + 3x + 6x Combine like terms: 3x + 6x = 9x 4 + 8x = 7 + 9x Solving 4 + 8x = 7 + 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. 4 + 8x + -9x = 7 + 9x + -9x Combine like terms: 8x + -9x = -1x 4 + -1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -1x = 7 + 0 4 + -1x = 7 Add '-4' to each side of the equation. 4 + -4 + -1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 7 + -4 -1x = 7 + -4 Combine like terms: 7 + -4 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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