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Simplifying 4x + 37 = 3(5x + -16) Reorder the terms: 37 + 4x = 3(5x + -16) Reorder the terms: 37 + 4x = 3(-16 + 5x) 37 + 4x = (-16 * 3 + 5x * 3) 37 + 4x = (-48 + 15x) Solving 37 + 4x = -48 + 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 + 4x + -15x = -48 + 15x + -15x Combine like terms: 4x + -15x = -11x 37 + -11x = -48 + 15x + -15x Combine like terms: 15x + -15x = 0 37 + -11x = -48 + 0 37 + -11x = -48 Add '-37' to each side of the equation. 37 + -37 + -11x = -48 + -37 Combine like terms: 37 + -37 = 0 0 + -11x = -48 + -37 -11x = -48 + -37 Combine like terms: -48 + -37 = -85 -11x = -85 Divide each side by '-11'. x = 7.727272727 Simplifying x = 7.727272727
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