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Simplifying 6x + -1(42) = 3x + 6 Multiply -1 * 42 6x + -42 = 3x + 6 Reorder the terms: -42 + 6x = 3x + 6 Reorder the terms: -42 + 6x = 6 + 3x Solving -42 + 6x = 6 + 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. -42 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x -42 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 3x = 6 + 0 -42 + 3x = 6 Add '42' to each side of the equation. -42 + 42 + 3x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 6 + 42 3x = 6 + 42 Combine like terms: 6 + 42 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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