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Simplifying 7x + -9 = -2(4x + 1) Reorder the terms: -9 + 7x = -2(4x + 1) Reorder the terms: -9 + 7x = -2(1 + 4x) -9 + 7x = (1 * -2 + 4x * -2) -9 + 7x = (-2 + -8x) Solving -9 + 7x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 7x + 8x = -2 + -8x + 8x Combine like terms: 7x + 8x = 15x -9 + 15x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 15x = -2 + 0 -9 + 15x = -2 Add '9' to each side of the equation. -9 + 9 + 15x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = -2 + 9 15x = -2 + 9 Combine like terms: -2 + 9 = 7 15x = 7 Divide each side by '15'. x = 0.4666666667 Simplifying x = 0.4666666667
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