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Simplifying -4(x + 3) = -7x + -42 Reorder the terms: -4(3 + x) = -7x + -42 (3 * -4 + x * -4) = -7x + -42 (-12 + -4x) = -7x + -42 Reorder the terms: -12 + -4x = -42 + -7x Solving -12 + -4x = -42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + -4x + 7x = -42 + -7x + 7x Combine like terms: -4x + 7x = 3x -12 + 3x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 3x = -42 + 0 -12 + 3x = -42 Add '12' to each side of the equation. -12 + 12 + 3x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -42 + 12 3x = -42 + 12 Combine like terms: -42 + 12 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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