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Simplifying 3x + -3 + -42 = 2x + -8 Reorder the terms: -3 + -42 + 3x = 2x + -8 Combine like terms: -3 + -42 = -45 -45 + 3x = 2x + -8 Reorder the terms: -45 + 3x = -8 + 2x Solving -45 + 3x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x -45 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 1x = -8 + 0 -45 + 1x = -8 Add '45' to each side of the equation. -45 + 45 + 1x = -8 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -8 + 45 1x = -8 + 45 Combine like terms: -8 + 45 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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