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Simplifying 6x + 2(-2x + -3) = 1 + -5x Reorder the terms: 6x + 2(-3 + -2x) = 1 + -5x 6x + (-3 * 2 + -2x * 2) = 1 + -5x 6x + (-6 + -4x) = 1 + -5x Reorder the terms: -6 + 6x + -4x = 1 + -5x Combine like terms: 6x + -4x = 2x -6 + 2x = 1 + -5x Solving -6 + 2x = 1 + -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 + 2x + 5x = 1 + -5x + 5x Combine like terms: 2x + 5x = 7x -6 + 7x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 7x = 1 + 0 -6 + 7x = 1 Add '6' to each side of the equation. -6 + 6 + 7x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 1 + 6 7x = 1 + 6 Combine like terms: 1 + 6 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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