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Simplifying (3x + -15) + -1(7x + 1) = 0 Reorder the terms: (-15 + 3x) + -1(7x + 1) = 0 Remove parenthesis around (-15 + 3x) -15 + 3x + -1(7x + 1) = 0 Reorder the terms: -15 + 3x + -1(1 + 7x) = 0 -15 + 3x + (1 * -1 + 7x * -1) = 0 -15 + 3x + (-1 + -7x) = 0 Reorder the terms: -15 + -1 + 3x + -7x = 0 Combine like terms: -15 + -1 = -16 -16 + 3x + -7x = 0 Combine like terms: 3x + -7x = -4x -16 + -4x = 0 Solving -16 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -4x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 0 + 16 -4x = 0 + 16 Combine like terms: 0 + 16 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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