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Simplifying -42 = -6x + 2(5x + 3) Reorder the terms: -42 = -6x + 2(3 + 5x) -42 = -6x + (3 * 2 + 5x * 2) -42 = -6x + (6 + 10x) Reorder the terms: -42 = 6 + -6x + 10x Combine like terms: -6x + 10x = 4x -42 = 6 + 4x Solving -42 = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + -4x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -4x = 6 + 0 -42 + -4x = 6 Add '42' to each side of the equation. -42 + 42 + -4x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 6 + 42 -4x = 6 + 42 Combine like terms: 6 + 42 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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