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Simplifying 7x + -7 + -5x = 1 + 6x + 20 Reorder the terms: -7 + 7x + -5x = 1 + 6x + 20 Combine like terms: 7x + -5x = 2x -7 + 2x = 1 + 6x + 20 Reorder the terms: -7 + 2x = 1 + 20 + 6x Combine like terms: 1 + 20 = 21 -7 + 2x = 21 + 6x Solving -7 + 2x = 21 + 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 + 2x + -6x = 21 + 6x + -6x Combine like terms: 2x + -6x = -4x -7 + -4x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -4x = 21 + 0 -7 + -4x = 21 Add '7' to each side of the equation. -7 + 7 + -4x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 21 + 7 -4x = 21 + 7 Combine like terms: 21 + 7 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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