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Simplifying 5x + 40 = 12x + 30 Reorder the terms: 40 + 5x = 12x + 30 Reorder the terms: 40 + 5x = 30 + 12x Solving 40 + 5x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 5x + -12x = 30 + 12x + -12x Combine like terms: 5x + -12x = -7x 40 + -7x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -7x = 30 + 0 40 + -7x = 30 Add '-40' to each side of the equation. 40 + -40 + -7x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -7x = 30 + -40 -7x = 30 + -40 Combine like terms: 30 + -40 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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