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Simplifying 7x + -37 = 4(5x + -6) Reorder the terms: -37 + 7x = 4(5x + -6) Reorder the terms: -37 + 7x = 4(-6 + 5x) -37 + 7x = (-6 * 4 + 5x * 4) -37 + 7x = (-24 + 20x) Solving -37 + 7x = -24 + 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 + 7x + -20x = -24 + 20x + -20x Combine like terms: 7x + -20x = -13x -37 + -13x = -24 + 20x + -20x Combine like terms: 20x + -20x = 0 -37 + -13x = -24 + 0 -37 + -13x = -24 Add '37' to each side of the equation. -37 + 37 + -13x = -24 + 37 Combine like terms: -37 + 37 = 0 0 + -13x = -24 + 37 -13x = -24 + 37 Combine like terms: -24 + 37 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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