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Simplifying -1(1 + 15x) = 2 + -2(3 + 7x) (1 * -1 + 15x * -1) = 2 + -2(3 + 7x) (-1 + -15x) = 2 + -2(3 + 7x) -1 + -15x = 2 + (3 * -2 + 7x * -2) -1 + -15x = 2 + (-6 + -14x) Combine like terms: 2 + -6 = -4 -1 + -15x = -4 + -14x Solving -1 + -15x = -4 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -1 + -15x + 14x = -4 + -14x + 14x Combine like terms: -15x + 14x = -1x -1 + -1x = -4 + -14x + 14x Combine like terms: -14x + 14x = 0 -1 + -1x = -4 + 0 -1 + -1x = -4 Add '1' to each side of the equation. -1 + 1 + -1x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -4 + 1 -1x = -4 + 1 Combine like terms: -4 + 1 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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