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Simplifying -37 + 2x = -7(-3x + -5) + -1x Reorder the terms: -37 + 2x = -7(-5 + -3x) + -1x -37 + 2x = (-5 * -7 + -3x * -7) + -1x -37 + 2x = (35 + 21x) + -1x Combine like terms: 21x + -1x = 20x -37 + 2x = 35 + 20x Solving -37 + 2x = 35 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -37 + 2x + -20x = 35 + 20x + -20x Combine like terms: 2x + -20x = -18x -37 + -18x = 35 + 20x + -20x Combine like terms: 20x + -20x = 0 -37 + -18x = 35 + 0 -37 + -18x = 35 Add '37' to each side of the equation. -37 + 37 + -18x = 35 + 37 Combine like terms: -37 + 37 = 0 0 + -18x = 35 + 37 -18x = 35 + 37 Combine like terms: 35 + 37 = 72 -18x = 72 Divide each side by '-18'. x = -4 Simplifying x = -4
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