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Simplifying 5x + 30 = 12x + -40 Reorder the terms: 30 + 5x = 12x + -40 Reorder the terms: 30 + 5x = -40 + 12x Solving 30 + 5x = -40 + 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. 30 + 5x + -12x = -40 + 12x + -12x Combine like terms: 5x + -12x = -7x 30 + -7x = -40 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -7x = -40 + 0 30 + -7x = -40 Add '-30' to each side of the equation. 30 + -30 + -7x = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = -40 + -30 -7x = -40 + -30 Combine like terms: -40 + -30 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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