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Simplifying 7(2x + -1) + -3x = 6x + 8 Reorder the terms: 7(-1 + 2x) + -3x = 6x + 8 (-1 * 7 + 2x * 7) + -3x = 6x + 8 (-7 + 14x) + -3x = 6x + 8 Combine like terms: 14x + -3x = 11x -7 + 11x = 6x + 8 Reorder the terms: -7 + 11x = 8 + 6x Solving -7 + 11x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 11x + -6x = 8 + 6x + -6x Combine like terms: 11x + -6x = 5x -7 + 5x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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