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Simplifying 6x + -8 + 4x + -8 = -2x + -18 + 8x + -14 Reorder the terms: -8 + -8 + 6x + 4x = -2x + -18 + 8x + -14 Combine like terms: -8 + -8 = -16 -16 + 6x + 4x = -2x + -18 + 8x + -14 Combine like terms: 6x + 4x = 10x -16 + 10x = -2x + -18 + 8x + -14 Reorder the terms: -16 + 10x = -18 + -14 + -2x + 8x Combine like terms: -18 + -14 = -32 -16 + 10x = -32 + -2x + 8x Combine like terms: -2x + 8x = 6x -16 + 10x = -32 + 6x Solving -16 + 10x = -32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 10x + -6x = -32 + 6x + -6x Combine like terms: 10x + -6x = 4x -16 + 4x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 4x = -32 + 0 -16 + 4x = -32 Add '16' to each side of the equation. -16 + 16 + 4x = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -32 + 16 4x = -32 + 16 Combine like terms: -32 + 16 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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