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Simplifying 8 + 4x + -9x + -2 = 7x + -10 + -5x Reorder the terms: 8 + -2 + 4x + -9x = 7x + -10 + -5x Combine like terms: 8 + -2 = 6 6 + 4x + -9x = 7x + -10 + -5x Combine like terms: 4x + -9x = -5x 6 + -5x = 7x + -10 + -5x Reorder the terms: 6 + -5x = -10 + 7x + -5x Combine like terms: 7x + -5x = 2x 6 + -5x = -10 + 2x Solving 6 + -5x = -10 + 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. 6 + -5x + -2x = -10 + 2x + -2x Combine like terms: -5x + -2x = -7x 6 + -7x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -7x = -10 + 0 6 + -7x = -10 Add '-6' to each side of the equation. 6 + -6 + -7x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -10 + -6 -7x = -10 + -6 Combine like terms: -10 + -6 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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