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Simplifying 6x + 7 + -2x = 3x + 5x + -9 Reorder the terms: 7 + 6x + -2x = 3x + 5x + -9 Combine like terms: 6x + -2x = 4x 7 + 4x = 3x + 5x + -9 Reorder the terms: 7 + 4x = -9 + 3x + 5x Combine like terms: 3x + 5x = 8x 7 + 4x = -9 + 8x Solving 7 + 4x = -9 + 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. 7 + 4x + -8x = -9 + 8x + -8x Combine like terms: 4x + -8x = -4x 7 + -4x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -4x = -9 + 0 7 + -4x = -9 Add '-7' to each side of the equation. 7 + -7 + -4x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -9 + -7 -4x = -9 + -7 Combine like terms: -9 + -7 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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