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Simplifying 3x + -42 = 3(5x + 2) Reorder the terms: -42 + 3x = 3(5x + 2) Reorder the terms: -42 + 3x = 3(2 + 5x) -42 + 3x = (2 * 3 + 5x * 3) -42 + 3x = (6 + 15x) Solving -42 + 3x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -42 + 3x + -15x = 6 + 15x + -15x Combine like terms: 3x + -15x = -12x -42 + -12x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -42 + -12x = 6 + 0 -42 + -12x = 6 Add '42' to each side of the equation. -42 + 42 + -12x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + -12x = 6 + 42 -12x = 6 + 42 Combine like terms: 6 + 42 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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