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Simplifying 18x + 14(x + -1) = -1 + -15(3x + 1) Reorder the terms: 18x + 14(-1 + x) = -1 + -15(3x + 1) 18x + (-1 * 14 + x * 14) = -1 + -15(3x + 1) 18x + (-14 + 14x) = -1 + -15(3x + 1) Reorder the terms: -14 + 18x + 14x = -1 + -15(3x + 1) Combine like terms: 18x + 14x = 32x -14 + 32x = -1 + -15(3x + 1) Reorder the terms: -14 + 32x = -1 + -15(1 + 3x) -14 + 32x = -1 + (1 * -15 + 3x * -15) -14 + 32x = -1 + (-15 + -45x) Combine like terms: -1 + -15 = -16 -14 + 32x = -16 + -45x Solving -14 + 32x = -16 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -14 + 32x + 45x = -16 + -45x + 45x Combine like terms: 32x + 45x = 77x -14 + 77x = -16 + -45x + 45x Combine like terms: -45x + 45x = 0 -14 + 77x = -16 + 0 -14 + 77x = -16 Add '14' to each side of the equation. -14 + 14 + 77x = -16 + 14 Combine like terms: -14 + 14 = 0 0 + 77x = -16 + 14 77x = -16 + 14 Combine like terms: -16 + 14 = -2 77x = -2 Divide each side by '77'. x = -0.02597402597 Simplifying x = -0.02597402597
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