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Simplifying 11x + -6 + 3x + -42 = 8x Reorder the terms: -6 + -42 + 11x + 3x = 8x Combine like terms: -6 + -42 = -48 -48 + 11x + 3x = 8x Combine like terms: 11x + 3x = 14x -48 + 14x = 8x Solving -48 + 14x = 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. -48 + 14x + -8x = 8x + -8x Combine like terms: 14x + -8x = 6x -48 + 6x = 8x + -8x Combine like terms: 8x + -8x = 0 -48 + 6x = 0 Add '48' to each side of the equation. -48 + 48 + 6x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 0 + 48 6x = 0 + 48 Combine like terms: 0 + 48 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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