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Simplifying 8x + 3(x + -2) = 5x + 42 Reorder the terms: 8x + 3(-2 + x) = 5x + 42 8x + (-2 * 3 + x * 3) = 5x + 42 8x + (-6 + 3x) = 5x + 42 Reorder the terms: -6 + 8x + 3x = 5x + 42 Combine like terms: 8x + 3x = 11x -6 + 11x = 5x + 42 Reorder the terms: -6 + 11x = 42 + 5x Solving -6 + 11x = 42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 11x + -5x = 42 + 5x + -5x Combine like terms: 11x + -5x = 6x -6 + 6x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 6x = 42 + 0 -6 + 6x = 42 Add '6' to each side of the equation. -6 + 6 + 6x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 42 + 6 6x = 42 + 6 Combine like terms: 42 + 6 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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