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Simplifying 4x + 6 = 15x + 40 Reorder the terms: 6 + 4x = 15x + 40 Reorder the terms: 6 + 4x = 40 + 15x Solving 6 + 4x = 40 + 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. 6 + 4x + -15x = 40 + 15x + -15x Combine like terms: 4x + -15x = -11x 6 + -11x = 40 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -11x = 40 + 0 6 + -11x = 40 Add '-6' to each side of the equation. 6 + -6 + -11x = 40 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 40 + -6 -11x = 40 + -6 Combine like terms: 40 + -6 = 34 -11x = 34 Divide each side by '-11'. x = -3.090909091 Simplifying x = -3.090909091
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