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Simplifying -42 + -6x = 6(1 + 3x) -42 + -6x = (1 * 6 + 3x * 6) -42 + -6x = (6 + 18x) Solving -42 + -6x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -42 + -6x + -18x = 6 + 18x + -18x Combine like terms: -6x + -18x = -24x -42 + -24x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -42 + -24x = 6 + 0 -42 + -24x = 6 Add '42' to each side of the equation. -42 + 42 + -24x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + -24x = 6 + 42 -24x = 6 + 42 Combine like terms: 6 + 42 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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