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Simplifying 7x + -3 + -6(x + 1) = 6x + 1 Reorder the terms: 7x + -3 + -6(1 + x) = 6x + 1 7x + -3 + (1 * -6 + x * -6) = 6x + 1 7x + -3 + (-6 + -6x) = 6x + 1 Reorder the terms: -3 + -6 + 7x + -6x = 6x + 1 Combine like terms: -3 + -6 = -9 -9 + 7x + -6x = 6x + 1 Combine like terms: 7x + -6x = 1x -9 + 1x = 6x + 1 Reorder the terms: -9 + 1x = 1 + 6x Solving -9 + 1x = 1 + 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. -9 + 1x + -6x = 1 + 6x + -6x Combine like terms: 1x + -6x = -5x -9 + -5x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -5x = 1 + 0 -9 + -5x = 1 Add '9' to each side of the equation. -9 + 9 + -5x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 1 + 9 -5x = 1 + 9 Combine like terms: 1 + 9 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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