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Simplifying 42 + -1x = 3(x + 6) Reorder the terms: 42 + -1x = 3(6 + x) 42 + -1x = (6 * 3 + x * 3) 42 + -1x = (18 + 3x) Solving 42 + -1x = 18 + 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 + -1x + -3x = 18 + 3x + -3x Combine like terms: -1x + -3x = -4x 42 + -4x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -4x = 18 + 0 42 + -4x = 18 Add '-42' to each side of the equation. 42 + -42 + -4x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 18 + -42 -4x = 18 + -42 Combine like terms: 18 + -42 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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