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Simplifying 3x + -42 = -3(x + 4) Reorder the terms: -42 + 3x = -3(x + 4) Reorder the terms: -42 + 3x = -3(4 + x) -42 + 3x = (4 * -3 + x * -3) -42 + 3x = (-12 + -3x) Solving -42 + 3x = -12 + -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 + 3x + 3x = -12 + -3x + 3x Combine like terms: 3x + 3x = 6x -42 + 6x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + 6x = -12 + 0 -42 + 6x = -12 Add '42' to each side of the equation. -42 + 42 + 6x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -12 + 42 6x = -12 + 42 Combine like terms: -12 + 42 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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