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Simplifying 4x + -3 + 8x = 42 + 3x Reorder the terms: -3 + 4x + 8x = 42 + 3x Combine like terms: 4x + 8x = 12x -3 + 12x = 42 + 3x Solving -3 + 12x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 12x + -3x = 42 + 3x + -3x Combine like terms: 12x + -3x = 9x -3 + 9x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 9x = 42 + 0 -3 + 9x = 42 Add '3' to each side of the equation. -3 + 3 + 9x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 42 + 3 9x = 42 + 3 Combine like terms: 42 + 3 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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