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Simplifying -3x + -5(1 + 3x) = 6 + -7x -3x + (1 * -5 + 3x * -5) = 6 + -7x -3x + (-5 + -15x) = 6 + -7x Reorder the terms: -5 + -3x + -15x = 6 + -7x Combine like terms: -3x + -15x = -18x -5 + -18x = 6 + -7x Solving -5 + -18x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + -18x + 7x = 6 + -7x + 7x Combine like terms: -18x + 7x = -11x -5 + -11x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + -11x = 6 + 0 -5 + -11x = 6 Add '5' to each side of the equation. -5 + 5 + -11x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 6 + 5 -11x = 6 + 5 Combine like terms: 6 + 5 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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