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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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