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Simplifying 10x + -30 + 2 = 3x + -7 + 4x Reorder the terms: -30 + 2 + 10x = 3x + -7 + 4x Combine like terms: -30 + 2 = -28 -28 + 10x = 3x + -7 + 4x Reorder the terms: -28 + 10x = -7 + 3x + 4x Combine like terms: 3x + 4x = 7x -28 + 10x = -7 + 7x Solving -28 + 10x = -7 + 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. -28 + 10x + -7x = -7 + 7x + -7x Combine like terms: 10x + -7x = 3x -28 + 3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + 3x = -7 + 0 -28 + 3x = -7 Add '28' to each side of the equation. -28 + 28 + 3x = -7 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -7 + 28 3x = -7 + 28 Combine like terms: -7 + 28 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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