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Simplifying x + (4x + -30) = x + (3x + 10) Reorder the terms: x + (-30 + 4x) = x + (3x + 10) Remove parenthesis around (-30 + 4x) x + -30 + 4x = x + (3x + 10) Reorder the terms: -30 + x + 4x = x + (3x + 10) Combine like terms: x + 4x = 5x -30 + 5x = x + (3x + 10) Reorder the terms: -30 + 5x = x + (10 + 3x) Remove parenthesis around (10 + 3x) -30 + 5x = x + 10 + 3x Reorder the terms: -30 + 5x = 10 + x + 3x Combine like terms: x + 3x = 4x -30 + 5x = 10 + 4x Solving -30 + 5x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 5x + -4x = 10 + 4x + -4x Combine like terms: 5x + -4x = 1x -30 + 1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 1x = 10 + 0 -30 + 1x = 10 Add '30' to each side of the equation. -30 + 30 + 1x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 10 + 30 1x = 10 + 30 Combine like terms: 10 + 30 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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