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Simplifying 3x + -30 = 7x + -42 Reorder the terms: -30 + 3x = 7x + -42 Reorder the terms: -30 + 3x = -42 + 7x Solving -30 + 3x = -42 + 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 = -42 + 7x + -7x Combine like terms: 3x + -7x = -4x -30 + -4x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -4x = -42 + 0 -30 + -4x = -42 Add '30' to each side of the equation. -30 + 30 + -4x = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = -42 + 30 -4x = -42 + 30 Combine like terms: -42 + 30 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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