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Simplifying 2(4x + -1x) + 6 = 2(2x + x) + 8 + -1x Combine like terms: 4x + -1x = 3x 2(3x) + 6 = 2(2x + x) + 8 + -1x Remove parenthesis around (3x) 2 * 3x + 6 = 2(2x + x) + 8 + -1x Multiply 2 * 3 6x + 6 = 2(2x + x) + 8 + -1x Reorder the terms: 6 + 6x = 2(2x + x) + 8 + -1x Combine like terms: 2x + x = 3x 6 + 6x = 2(3x) + 8 + -1x Remove parenthesis around (3x) 6 + 6x = 2 * 3x + 8 + -1x Multiply 2 * 3 6 + 6x = 6x + 8 + -1x Reorder the terms: 6 + 6x = 8 + 6x + -1x Combine like terms: 6x + -1x = 5x 6 + 6x = 8 + 5x Solving 6 + 6x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 6x + -5x = 8 + 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = 8 + 0 6 + 1x = 8 Add '-6' to each side of the equation. 6 + -6 + 1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 8 + -6 1x = 8 + -6 Combine like terms: 8 + -6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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