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Simplifying 6x + -20 = (x + 10) + (3x + 10) Reorder the terms: -20 + 6x = (x + 10) + (3x + 10) Reorder the terms: -20 + 6x = (10 + x) + (3x + 10) Remove parenthesis around (10 + x) -20 + 6x = 10 + x + (3x + 10) Reorder the terms: -20 + 6x = 10 + x + (10 + 3x) Remove parenthesis around (10 + 3x) -20 + 6x = 10 + x + 10 + 3x Reorder the terms: -20 + 6x = 10 + 10 + x + 3x Combine like terms: 10 + 10 = 20 -20 + 6x = 20 + x + 3x Combine like terms: x + 3x = 4x -20 + 6x = 20 + 4x Solving -20 + 6x = 20 + 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. -20 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x -20 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 2x = 20 + 0 -20 + 2x = 20 Add '20' to each side of the equation. -20 + 20 + 2x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 20 + 20 2x = 20 + 20 Combine like terms: 20 + 20 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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