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Simplifying x + -42 = 6(2x + 3) + -5 Reorder the terms: -42 + x = 6(2x + 3) + -5 Reorder the terms: -42 + x = 6(3 + 2x) + -5 -42 + x = (3 * 6 + 2x * 6) + -5 -42 + x = (18 + 12x) + -5 Reorder the terms: -42 + x = 18 + -5 + 12x Combine like terms: 18 + -5 = 13 -42 + x = 13 + 12x Solving -42 + x = 13 + 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. -42 + x + -12x = 13 + 12x + -12x Combine like terms: x + -12x = -11x -42 + -11x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 -42 + -11x = 13 + 0 -42 + -11x = 13 Add '42' to each side of the equation. -42 + 42 + -11x = 13 + 42 Combine like terms: -42 + 42 = 0 0 + -11x = 13 + 42 -11x = 13 + 42 Combine like terms: 13 + 42 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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