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Simplifying -6x + 10 + -2x = 4x + 12 + 5x Reorder the terms: 10 + -6x + -2x = 4x + 12 + 5x Combine like terms: -6x + -2x = -8x 10 + -8x = 4x + 12 + 5x Reorder the terms: 10 + -8x = 12 + 4x + 5x Combine like terms: 4x + 5x = 9x 10 + -8x = 12 + 9x Solving 10 + -8x = 12 + 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. 10 + -8x + -9x = 12 + 9x + -9x Combine like terms: -8x + -9x = -17x 10 + -17x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -17x = 12 + 0 10 + -17x = 12 Add '-10' to each side of the equation. 10 + -10 + -17x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = 12 + -10 -17x = 12 + -10 Combine like terms: 12 + -10 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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