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Simplifying 3x + 30 = 7x + 40 Reorder the terms: 30 + 3x = 7x + 40 Reorder the terms: 30 + 3x = 40 + 7x Solving 30 + 3x = 40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 3x + -7x = 40 + 7x + -7x Combine like terms: 3x + -7x = -4x 30 + -4x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -4x = 40 + 0 30 + -4x = 40 Add '-30' to each side of the equation. 30 + -30 + -4x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 40 + -30 -4x = 40 + -30 Combine like terms: 40 + -30 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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