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Simplifying -37 + 6x = 7(3 + 5x) -37 + 6x = (3 * 7 + 5x * 7) -37 + 6x = (21 + 35x) Solving -37 + 6x = 21 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -37 + 6x + -35x = 21 + 35x + -35x Combine like terms: 6x + -35x = -29x -37 + -29x = 21 + 35x + -35x Combine like terms: 35x + -35x = 0 -37 + -29x = 21 + 0 -37 + -29x = 21 Add '37' to each side of the equation. -37 + 37 + -29x = 21 + 37 Combine like terms: -37 + 37 = 0 0 + -29x = 21 + 37 -29x = 21 + 37 Combine like terms: 21 + 37 = 58 -29x = 58 Divide each side by '-29'. x = -2 Simplifying x = -2
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