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Simplifying x + 3x + 40 = 2x + 9x + 45 Reorder the terms: 40 + x + 3x = 2x + 9x + 45 Combine like terms: x + 3x = 4x 40 + 4x = 2x + 9x + 45 Reorder the terms: 40 + 4x = 45 + 2x + 9x Combine like terms: 2x + 9x = 11x 40 + 4x = 45 + 11x Solving 40 + 4x = 45 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 40 + 4x + -11x = 45 + 11x + -11x Combine like terms: 4x + -11x = -7x 40 + -7x = 45 + 11x + -11x Combine like terms: 11x + -11x = 0 40 + -7x = 45 + 0 40 + -7x = 45 Add '-40' to each side of the equation. 40 + -40 + -7x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + -7x = 45 + -40 -7x = 45 + -40 Combine like terms: 45 + -40 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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