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Simplifying -3x + -42 = 2(3x + 1) + 1 Reorder the terms: -42 + -3x = 2(3x + 1) + 1 Reorder the terms: -42 + -3x = 2(1 + 3x) + 1 -42 + -3x = (1 * 2 + 3x * 2) + 1 -42 + -3x = (2 + 6x) + 1 Reorder the terms: -42 + -3x = 2 + 1 + 6x Combine like terms: 2 + 1 = 3 -42 + -3x = 3 + 6x Solving -42 + -3x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + -3x + -6x = 3 + 6x + -6x Combine like terms: -3x + -6x = -9x -42 + -9x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + -9x = 3 + 0 -42 + -9x = 3 Add '42' to each side of the equation. -42 + 42 + -9x = 3 + 42 Combine like terms: -42 + 42 = 0 0 + -9x = 3 + 42 -9x = 3 + 42 Combine like terms: 3 + 42 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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