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Simplifying 3x + -5 = 12x + -42 Reorder the terms: -5 + 3x = 12x + -42 Reorder the terms: -5 + 3x = -42 + 12x Solving -5 + 3x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 3x + -12x = -42 + 12x + -12x Combine like terms: 3x + -12x = -9x -5 + -9x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -9x = -42 + 0 -5 + -9x = -42 Add '5' to each side of the equation. -5 + 5 + -9x = -42 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = -42 + 5 -9x = -42 + 5 Combine like terms: -42 + 5 = -37 -9x = -37 Divide each side by '-9'. x = 4.111111111 Simplifying x = 4.111111111
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