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Simplifying -37 + 8x = -4 + 3(5x + 3) Reorder the terms: -37 + 8x = -4 + 3(3 + 5x) -37 + 8x = -4 + (3 * 3 + 5x * 3) -37 + 8x = -4 + (9 + 15x) Combine like terms: -4 + 9 = 5 -37 + 8x = 5 + 15x Solving -37 + 8x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -37 + 8x + -15x = 5 + 15x + -15x Combine like terms: 8x + -15x = -7x -37 + -7x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -37 + -7x = 5 + 0 -37 + -7x = 5 Add '37' to each side of the equation. -37 + 37 + -7x = 5 + 37 Combine like terms: -37 + 37 = 0 0 + -7x = 5 + 37 -7x = 5 + 37 Combine like terms: 5 + 37 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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