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Simplifying -2x + 6(-3x + -4) = -37 + -7x Reorder the terms: -2x + 6(-4 + -3x) = -37 + -7x -2x + (-4 * 6 + -3x * 6) = -37 + -7x -2x + (-24 + -18x) = -37 + -7x Reorder the terms: -24 + -2x + -18x = -37 + -7x Combine like terms: -2x + -18x = -20x -24 + -20x = -37 + -7x Solving -24 + -20x = -37 + -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. -24 + -20x + 7x = -37 + -7x + 7x Combine like terms: -20x + 7x = -13x -24 + -13x = -37 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + -13x = -37 + 0 -24 + -13x = -37 Add '24' to each side of the equation. -24 + 24 + -13x = -37 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = -37 + 24 -13x = -37 + 24 Combine like terms: -37 + 24 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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