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Simplifying 1 + -1(3x + 6) = 15 + -7x Reorder the terms: 1 + -1(6 + 3x) = 15 + -7x 1 + (6 * -1 + 3x * -1) = 15 + -7x 1 + (-6 + -3x) = 15 + -7x Combine like terms: 1 + -6 = -5 -5 + -3x = 15 + -7x Solving -5 + -3x = 15 + -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 + -3x + 7x = 15 + -7x + 7x Combine like terms: -3x + 7x = 4x -5 + 4x = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 4x = 15 + 0 -5 + 4x = 15 Add '5' to each side of the equation. -5 + 5 + 4x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 15 + 5 4x = 15 + 5 Combine like terms: 15 + 5 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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