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Simplifying 4x + (x + 6) = 3x + -1(-26) Reorder the terms: 4x + (6 + x) = 3x + -1(-26) Remove parenthesis around (6 + x) 4x + 6 + x = 3x + -1(-26) Reorder the terms: 6 + 4x + x = 3x + -1(-26) Combine like terms: 4x + x = 5x 6 + 5x = 3x + -1(-26) Multiply -1 * -26 6 + 5x = 3x + 26 Reorder the terms: 6 + 5x = 26 + 3x Solving 6 + 5x = 26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 5x + -3x = 26 + 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 26 + 0 6 + 2x = 26 Add '-6' to each side of the equation. 6 + -6 + 2x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 26 + -6 2x = 26 + -6 Combine like terms: 26 + -6 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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