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Simplifying 4x + 37 = 6x + 7 Reorder the terms: 37 + 4x = 6x + 7 Reorder the terms: 37 + 4x = 7 + 6x Solving 37 + 4x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 37 + 4x + -6x = 7 + 6x + -6x Combine like terms: 4x + -6x = -2x 37 + -2x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 37 + -2x = 7 + 0 37 + -2x = 7 Add '-37' to each side of the equation. 37 + -37 + -2x = 7 + -37 Combine like terms: 37 + -37 = 0 0 + -2x = 7 + -37 -2x = 7 + -37 Combine like terms: 7 + -37 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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